What is the Least Common Multiple of 64175 and 64189?

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 64175 and 64189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64175 and 64189, than apply into the LCM equation.

GCF(64175,64189) = 1
LCM(64175,64189) = ( 64175 × 64189) / 1
LCM(64175,64189) = 4119329075 / 1
LCM(64175,64189) = 4119329075

Least Common Multiple (LCM) of 64175 and 64189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64175 and 64189. First we will calculate the prime factors of 64175 and 64189.

Prime Factorization of 64175

Prime Factorization of 64189

Now multiplying the highest exponent prime factors to calculate the LCM of 64175 and 64189.

LCM(64175,64189) = 5² × 17¹ × 151¹ × 64189¹
LCM(64175,64189) = 4119329075