What is the Least Common Multiple of 8519 and 8532?

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 8519 and 8532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8519 and 8532, than apply into the LCM equation.

GCF(8519,8532) = 1
LCM(8519,8532) = ( 8519 × 8532) / 1
LCM(8519,8532) = 72684108 / 1
LCM(8519,8532) = 72684108

Least Common Multiple (LCM) of 8519 and 8532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8519 and 8532. First we will calculate the prime factors of 8519 and 8532.

Prime Factorization of 8519

Prime Factorization of 8532

Now multiplying the highest exponent prime factors to calculate the LCM of 8519 and 8532.

LCM(8519,8532) = 7¹ × 1217¹ × 2² × 3³ × 79¹
LCM(8519,8532) = 72684108