What is the Least Common Multiple of 61739 and 61757?

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 61739 and 61757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61739 and 61757, than apply into the LCM equation.

GCF(61739,61757) = 1
LCM(61739,61757) = ( 61739 × 61757) / 1
LCM(61739,61757) = 3812815423 / 1
LCM(61739,61757) = 3812815423

Least Common Multiple (LCM) of 61739 and 61757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61739 and 61757. First we will calculate the prime factors of 61739 and 61757.

Prime Factorization of 61739

Prime Factorization of 61757

Now multiplying the highest exponent prime factors to calculate the LCM of 61739 and 61757.

LCM(61739,61757) = 107¹ × 577¹ × 61757¹
LCM(61739,61757) = 3812815423