What is the Least Common Multiple of 61524 and 61534?

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 61524 and 61534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61524 and 61534, than apply into the LCM equation.

GCF(61524,61534) = 2
LCM(61524,61534) = ( 61524 × 61534) / 2
LCM(61524,61534) = 3785817816 / 2
LCM(61524,61534) = 1892908908

Least Common Multiple (LCM) of 61524 and 61534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61524 and 61534. First we will calculate the prime factors of 61524 and 61534.

Prime Factorization of 61524

Prime Factorization of 61534

Now multiplying the highest exponent prime factors to calculate the LCM of 61524 and 61534.

LCM(61524,61534) = 2² × 3² × 1709¹ × 11¹ × 2797¹
LCM(61524,61534) = 1892908908