What is the Least Common Multiple of 66512 and 66532?

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 66512 and 66532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66512 and 66532, than apply into the LCM equation.

GCF(66512,66532) = 4
LCM(66512,66532) = ( 66512 × 66532) / 4
LCM(66512,66532) = 4425176384 / 4
LCM(66512,66532) = 1106294096

Least Common Multiple (LCM) of 66512 and 66532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66512 and 66532. First we will calculate the prime factors of 66512 and 66532.

Prime Factorization of 66512

Prime Factorization of 66532

Now multiplying the highest exponent prime factors to calculate the LCM of 66512 and 66532.

LCM(66512,66532) = 2⁴ × 4157¹ × 16633¹
LCM(66512,66532) = 1106294096