What is the Least Common Multiple of 64970 and 64986?

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 64970 and 64986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64970 and 64986, than apply into the LCM equation.

GCF(64970,64986) = 2
LCM(64970,64986) = ( 64970 × 64986) / 2
LCM(64970,64986) = 4222140420 / 2
LCM(64970,64986) = 2111070210

Least Common Multiple (LCM) of 64970 and 64986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64970 and 64986. First we will calculate the prime factors of 64970 and 64986.

Prime Factorization of 64970

Prime Factorization of 64986

Now multiplying the highest exponent prime factors to calculate the LCM of 64970 and 64986.

LCM(64970,64986) = 2¹ × 5¹ × 73¹ × 89¹ × 3¹ × 10831¹
LCM(64970,64986) = 2111070210