What is the Least Common Multiple of 32524 and 32534?

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 32524 and 32534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32524 and 32534, than apply into the LCM equation.

GCF(32524,32534) = 2
LCM(32524,32534) = ( 32524 × 32534) / 2
LCM(32524,32534) = 1058135816 / 2
LCM(32524,32534) = 529067908

Least Common Multiple (LCM) of 32524 and 32534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32524 and 32534. First we will calculate the prime factors of 32524 and 32534.

Prime Factorization of 32524

Prime Factorization of 32534

Now multiplying the highest exponent prime factors to calculate the LCM of 32524 and 32534.

LCM(32524,32534) = 2² × 47¹ × 173¹ × 16267¹
LCM(32524,32534) = 529067908