What is the Least Common Multiple of 67512 and 67532?

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 67512 and 67532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67512 and 67532, than apply into the LCM equation.

GCF(67512,67532) = 4
LCM(67512,67532) = ( 67512 × 67532) / 4
LCM(67512,67532) = 4559220384 / 4
LCM(67512,67532) = 1139805096

Least Common Multiple (LCM) of 67512 and 67532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67512 and 67532. First we will calculate the prime factors of 67512 and 67532.

Prime Factorization of 67512

Prime Factorization of 67532

Now multiplying the highest exponent prime factors to calculate the LCM of 67512 and 67532.

LCM(67512,67532) = 2³ × 3¹ × 29¹ × 97¹ × 16883¹
LCM(67512,67532) = 1139805096