What is the Least Common Multiple of 64568 and 64574?

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 64568 and 64574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64568 and 64574, than apply into the LCM equation.

GCF(64568,64574) = 2
LCM(64568,64574) = ( 64568 × 64574) / 2
LCM(64568,64574) = 4169414032 / 2
LCM(64568,64574) = 2084707016

Least Common Multiple (LCM) of 64568 and 64574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64568 and 64574. First we will calculate the prime factors of 64568 and 64574.

Prime Factorization of 64568

Prime Factorization of 64574

Now multiplying the highest exponent prime factors to calculate the LCM of 64568 and 64574.

LCM(64568,64574) = 2³ × 7¹ × 1153¹ × 83¹ × 389¹
LCM(64568,64574) = 2084707016