What is the Least Common Multiple of 64701 and 64708?

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 64701 and 64708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64701 and 64708, than apply into the LCM equation.

GCF(64701,64708) = 7
LCM(64701,64708) = ( 64701 × 64708) / 7
LCM(64701,64708) = 4186672308 / 7
LCM(64701,64708) = 598096044

Least Common Multiple (LCM) of 64701 and 64708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64701 and 64708. First we will calculate the prime factors of 64701 and 64708.

Prime Factorization of 64701

Prime Factorization of 64708

Now multiplying the highest exponent prime factors to calculate the LCM of 64701 and 64708.

LCM(64701,64708) = 3² × 7¹ × 13¹ × 79¹ × 2² × 2311¹
LCM(64701,64708) = 598096044