What is the Least Common Multiple of 67596 and 67612?

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 67596 and 67612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67596 and 67612, than apply into the LCM equation.

GCF(67596,67612) = 4
LCM(67596,67612) = ( 67596 × 67612) / 4
LCM(67596,67612) = 4570300752 / 4
LCM(67596,67612) = 1142575188

Least Common Multiple (LCM) of 67596 and 67612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67596 and 67612. First we will calculate the prime factors of 67596 and 67612.

Prime Factorization of 67596

Prime Factorization of 67612

Now multiplying the highest exponent prime factors to calculate the LCM of 67596 and 67612.

LCM(67596,67612) = 2² × 3¹ × 43¹ × 131¹ × 16903¹
LCM(67596,67612) = 1142575188