What is the Least Common Multiple of 64785 and 64792?

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 64785 and 64792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64785 and 64792, than apply into the LCM equation.

GCF(64785,64792) = 7
LCM(64785,64792) = ( 64785 × 64792) / 7
LCM(64785,64792) = 4197549720 / 7
LCM(64785,64792) = 599649960

Least Common Multiple (LCM) of 64785 and 64792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64785 and 64792. First we will calculate the prime factors of 64785 and 64792.

Prime Factorization of 64785

Prime Factorization of 64792

Now multiplying the highest exponent prime factors to calculate the LCM of 64785 and 64792.

LCM(64785,64792) = 3¹ × 5¹ × 7¹ × 617¹ × 2³ × 13¹ × 89¹
LCM(64785,64792) = 599649960