What is the Least Common Multiple of 64628 and 64634?

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 64628 and 64634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64628 and 64634, than apply into the LCM equation.

GCF(64628,64634) = 2
LCM(64628,64634) = ( 64628 × 64634) / 2
LCM(64628,64634) = 4177166152 / 2
LCM(64628,64634) = 2088583076

Least Common Multiple (LCM) of 64628 and 64634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64628 and 64634. First we will calculate the prime factors of 64628 and 64634.

Prime Factorization of 64628

Prime Factorization of 64634

Now multiplying the highest exponent prime factors to calculate the LCM of 64628 and 64634.

LCM(64628,64634) = 2² × 107¹ × 151¹ × 17¹ × 1901¹
LCM(64628,64634) = 2088583076