LCM for 480 and 720

What's the Least Common Multiple (LCM) of 480 and 720?

Answer: LCM of 480 and 720 is 1,440

(One thousand, four hundred forty)

Finding LCM for 480 and 720 using GCF's of these numbers

The first method to find LCM for numbers 480 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 480 and 720 is 240, so

LCM = (480 × 720) ÷ 240

LCM = 345600 ÷ 240

LCM = 1440

Finding LCM for 480 and 720 by Listing Multiples

The second method to find LCM for numbers 480 and 720 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 480: 480, 960, 1440, 1920, 2400

Multiples of 720: 720, 1440, 2160, 2880

So the LCM for 480 and 720 is 1440

Finding LCM for 480 and 720 by Prime Factorization

Another method to find LCM for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5 (exponent form: 25, 31, 51)

All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)

25 × 32 × 51 = 1440

Related Calculations

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 480 and 720? (The answer is: 1440). Select the first number (e.g. '480') and the second number (e.g. '720'). 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
46572022320
466720167760
467720336240
4687209360
469720337680
47072033840
471720113040
47272042480
473720340560
47472056880
47572068400
47672085680
47772038160
478720172080
479720344880
480720
481720346320
482720173520
483720115920
48472087120
48572069840
48672019440
487720350640
48872043920
489720117360
49072035280
491720353520
49272029520
493720354960
494720177840

FAQ

What's the Least Common Multiple (LCM) of 480 and 720?

LCM of 480 and 720 is 1,440