What is the Least Common Multiple of 64684 and 64702?

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 64684 and 64702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64684 and 64702, than apply into the LCM equation.

GCF(64684,64702) = 2
LCM(64684,64702) = ( 64684 × 64702) / 2
LCM(64684,64702) = 4185184168 / 2
LCM(64684,64702) = 2092592084

Least Common Multiple (LCM) of 64684 and 64702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64684 and 64702. First we will calculate the prime factors of 64684 and 64702.

Prime Factorization of 64684

Prime Factorization of 64702

Now multiplying the highest exponent prime factors to calculate the LCM of 64684 and 64702.

LCM(64684,64702) = 2² × 103¹ × 157¹ × 11¹ × 17¹ × 173¹
LCM(64684,64702) = 2092592084