What is the Least Common Multiple of 62712 and 62721?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62712 and 62721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62712 and 62721, than apply into the LCM equation.

GCF(62712,62721) = 9
LCM(62712,62721) = ( 62712 × 62721) / 9
LCM(62712,62721) = 3933359352 / 9
LCM(62712,62721) = 437039928

Least Common Multiple (LCM) of 62712 and 62721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62712 and 62721. First we will calculate the prime factors of 62712 and 62721.

Prime Factorization of 62712

Prime Factorization of 62721

Now multiplying the highest exponent prime factors to calculate the LCM of 62712 and 62721.

LCM(62712,62721) = 2³ × 3³ × 13¹ × 67¹ × 23¹ × 101¹
LCM(62712,62721) = 437039928