What is the Least Common Multiple of 64824 and 64842?

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 64824 and 64842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64824 and 64842, than apply into the LCM equation.

GCF(64824,64842) = 6
LCM(64824,64842) = ( 64824 × 64842) / 6
LCM(64824,64842) = 4203317808 / 6
LCM(64824,64842) = 700552968

Least Common Multiple (LCM) of 64824 and 64842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64824 and 64842. First we will calculate the prime factors of 64824 and 64842.

Prime Factorization of 64824

Prime Factorization of 64842

Now multiplying the highest exponent prime factors to calculate the LCM of 64824 and 64842.

LCM(64824,64842) = 2³ × 3¹ × 37¹ × 73¹ × 101¹ × 107¹
LCM(64824,64842) = 700552968