What is the Least Common Multiple of 61528 and 61542?

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 61528 and 61542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61528 and 61542, than apply into the LCM equation.

GCF(61528,61542) = 2
LCM(61528,61542) = ( 61528 × 61542) / 2
LCM(61528,61542) = 3786556176 / 2
LCM(61528,61542) = 1893278088

Least Common Multiple (LCM) of 61528 and 61542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61528 and 61542. First we will calculate the prime factors of 61528 and 61542.

Prime Factorization of 61528

Prime Factorization of 61542

Now multiplying the highest exponent prime factors to calculate the LCM of 61528 and 61542.

LCM(61528,61542) = 2³ × 7691¹ × 3² × 13¹ × 263¹
LCM(61528,61542) = 1893278088