What is the Least Common Multiple of 64678 and 64684?

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 64678 and 64684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64678 and 64684, than apply into the LCM equation.

GCF(64678,64684) = 2
LCM(64678,64684) = ( 64678 × 64684) / 2
LCM(64678,64684) = 4183631752 / 2
LCM(64678,64684) = 2091815876

Least Common Multiple (LCM) of 64678 and 64684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64678 and 64684. First we will calculate the prime factors of 64678 and 64684.

Prime Factorization of 64678

Prime Factorization of 64684

Now multiplying the highest exponent prime factors to calculate the LCM of 64678 and 64684.

LCM(64678,64684) = 2² × 73¹ × 443¹ × 103¹ × 157¹
LCM(64678,64684) = 2091815876