What is the Least Common Multiple of 19512 and 19532?

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 19512 and 19532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19512 and 19532, than apply into the LCM equation.

GCF(19512,19532) = 4
LCM(19512,19532) = ( 19512 × 19532) / 4
LCM(19512,19532) = 381108384 / 4
LCM(19512,19532) = 95277096

Least Common Multiple (LCM) of 19512 and 19532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19512 and 19532. First we will calculate the prime factors of 19512 and 19532.

Prime Factorization of 19512

Prime Factorization of 19532

Now multiplying the highest exponent prime factors to calculate the LCM of 19512 and 19532.

LCM(19512,19532) = 2³ × 3² × 271¹ × 19¹ × 257¹
LCM(19512,19532) = 95277096