What is the Least Common Multiple of 68592 and 68612?

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 68592 and 68612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68592 and 68612, than apply into the LCM equation.

GCF(68592,68612) = 4
LCM(68592,68612) = ( 68592 × 68612) / 4
LCM(68592,68612) = 4706234304 / 4
LCM(68592,68612) = 1176558576

Least Common Multiple (LCM) of 68592 and 68612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68592 and 68612. First we will calculate the prime factors of 68592 and 68612.

Prime Factorization of 68592

Prime Factorization of 68612

Now multiplying the highest exponent prime factors to calculate the LCM of 68592 and 68612.

LCM(68592,68612) = 2⁴ × 3¹ × 1429¹ × 17¹ × 1009¹
LCM(68592,68612) = 1176558576