What is the Least Common Multiple of 64720 and 64735?

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 64720 and 64735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64720 and 64735, than apply into the LCM equation.

GCF(64720,64735) = 5
LCM(64720,64735) = ( 64720 × 64735) / 5
LCM(64720,64735) = 4189649200 / 5
LCM(64720,64735) = 837929840

Least Common Multiple (LCM) of 64720 and 64735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64720 and 64735. First we will calculate the prime factors of 64720 and 64735.

Prime Factorization of 64720

Prime Factorization of 64735

Now multiplying the highest exponent prime factors to calculate the LCM of 64720 and 64735.

LCM(64720,64735) = 2⁴ × 5¹ × 809¹ × 11² × 107¹
LCM(64720,64735) = 837929840