What is the Least Common Multiple of 61512 and 61532?

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 61512 and 61532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61512 and 61532, than apply into the LCM equation.

GCF(61512,61532) = 4
LCM(61512,61532) = ( 61512 × 61532) / 4
LCM(61512,61532) = 3784956384 / 4
LCM(61512,61532) = 946239096

Least Common Multiple (LCM) of 61512 and 61532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61512 and 61532. First we will calculate the prime factors of 61512 and 61532.

Prime Factorization of 61512

Prime Factorization of 61532

Now multiplying the highest exponent prime factors to calculate the LCM of 61512 and 61532.

LCM(61512,61532) = 2³ × 3¹ × 11¹ × 233¹ × 15383¹
LCM(61512,61532) = 946239096