LCM for 312 and 468

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 312 and 468?

Answer: LCM of 312 and 468 is 936

(Nine hundred thirty-six)

Finding LCM for 312 and 468 using GCF's of these numbers

The first method to find LCM for numbers 312 and 468 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 312 and 468 is 156, so

LCM = (312 × 468) ÷ 156

LCM = 146016 ÷ 156

LCM = 936

Finding LCM for 312 and 468 by Listing Multiples

The second method to find LCM for numbers 312 and 468 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 312: 312, 624, 936, 1248, 1560

Multiples of 468: 468, 936, 1404, 1872

So the LCM for 312 and 468 is 936

Finding LCM for 312 and 468 by Prime Factorization

Another method to find LCM for numbers 312 and 468 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 312: 2, 2, 2, 3, 13 (exponent form: 23, 31, 131)

All Prime Factors of 468: 2, 2, 3, 3, 13 (exponent form: 22, 32, 131)

23 × 32 × 131 = 936

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LCM Table

Number 1Number 2LCM
29746815444
29846869732
29946810764
30046811700
301468140868
30246870668
30346847268
30446835568
305468142740
3064687956
307468143676
30846836036
30946848204
31046872540
311468145548
312468936
313468146484
31446873476
31546816380
31646836972
317468148356
31846824804
319468149292
32046837440
32146850076
32246875348
323468151164
3244684212
32546811700
32646876284

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 312 and 468? (The answer is: 936). Select the first number (e.g. '312') and the second number (e.g. '468'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 312 and 468?

LCM of 312 and 468 is 936

See Also