What is the Least Common Multiple of 67512 and 67531?

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 67531 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 67531, than apply into the LCM equation.

GCF(67512,67531) = 1
LCM(67512,67531) = ( 67512 × 67531) / 1
LCM(67512,67531) = 4559152872 / 1
LCM(67512,67531) = 4559152872

Least Common Multiple (LCM) of 67512 and 67531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67512 and 67531. First we will calculate the prime factors of 67512 and 67531.

Prime Factorization of 67512

Prime Factorization of 67531

Now multiplying the highest exponent prime factors to calculate the LCM of 67512 and 67531.

LCM(67512,67531) = 2³ × 3¹ × 29¹ × 97¹ × 67531¹
LCM(67512,67531) = 4559152872