What is the Least Common Multiple of 66964 and 66974?

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 66964 and 66974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66964 and 66974, than apply into the LCM equation.

GCF(66964,66974) = 2
LCM(66964,66974) = ( 66964 × 66974) / 2
LCM(66964,66974) = 4484846936 / 2
LCM(66964,66974) = 2242423468

Least Common Multiple (LCM) of 66964 and 66974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66964 and 66974. First we will calculate the prime factors of 66964 and 66974.

Prime Factorization of 66964

Prime Factorization of 66974

Now multiplying the highest exponent prime factors to calculate the LCM of 66964 and 66974.

LCM(66964,66974) = 2² × 16741¹ × 33487¹
LCM(66964,66974) = 2242423468