What is the Least Common Multiple of 61574 and 61592?

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 61574 and 61592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61574 and 61592, than apply into the LCM equation.

GCF(61574,61592) = 2
LCM(61574,61592) = ( 61574 × 61592) / 2
LCM(61574,61592) = 3792465808 / 2
LCM(61574,61592) = 1896232904

Least Common Multiple (LCM) of 61574 and 61592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61574 and 61592. First we will calculate the prime factors of 61574 and 61592.

Prime Factorization of 61574

Prime Factorization of 61592

Now multiplying the highest exponent prime factors to calculate the LCM of 61574 and 61592.

LCM(61574,61592) = 2³ × 17¹ × 1811¹ × 7699¹
LCM(61574,61592) = 1896232904