LCM for 252 and 840

What's the Least Common Multiple (LCM) of 252 and 840?

Answer: LCM of 252 and 840 is 2,520

(Two thousand, five hundred twenty)

Finding LCM for 252 and 840 using GCF's of these numbers

The first method to find LCM for numbers 252 and 840 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 252 and 840 is 84, so

LCM = (252 × 840) ÷ 84

LCM = 211680 ÷ 84

LCM = 2520

Finding LCM for 252 and 840 by Listing Multiples

The second method to find LCM for numbers 252 and 840 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024

Multiples of 840: 840, 1680, 2520, 3360, 4200

So the LCM for 252 and 840 is 2520

Finding LCM for 252 and 840 by Prime Factorization

Another method to find LCM for numbers 252 and 840 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

All Prime Factors of 840: 2, 2, 2, 3, 5, 7 (exponent form: 23, 31, 51, 71)

23 × 32 × 71 × 51 = 2520

See Also

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 252 and 840? (The answer is: 2520). Select the first number (e.g. '252') and the second number (e.g. '840'). 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

LCM Table

Number 1Number 2LCM
23784066360
23884014280
239840200760
2408401680
241840202440
242840101640
24384068040
24484051240
2458405880
24684034440
247840207480
24884026040
24984069720
25084021000
251840210840
252840
253840212520
254840106680
25584014280
25684026880
257840215880
25884036120
25984031080
26084010920
26184073080
262840110040
263840220920
2648409240
26584044520
26684015960

FAQ

What's the Least Common Multiple (LCM) of 252 and 840?

LCM of 252 and 840 is 2,520