What is the Least Common Multiple of 61506 and 61512?

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 61506 and 61512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61506 and 61512, than apply into the LCM equation.

GCF(61506,61512) = 6
LCM(61506,61512) = ( 61506 × 61512) / 6
LCM(61506,61512) = 3783357072 / 6
LCM(61506,61512) = 630559512

Least Common Multiple (LCM) of 61506 and 61512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61506 and 61512. First we will calculate the prime factors of 61506 and 61512.

Prime Factorization of 61506

Prime Factorization of 61512

Now multiplying the highest exponent prime factors to calculate the LCM of 61506 and 61512.

LCM(61506,61512) = 2³ × 3³ × 17¹ × 67¹ × 11¹ × 233¹
LCM(61506,61512) = 630559512