What is the Least Common Multiple of 61739 and 61759?

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 61759 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 61759, than apply into the LCM equation.

GCF(61739,61759) = 1
LCM(61739,61759) = ( 61739 × 61759) / 1
LCM(61739,61759) = 3812938901 / 1
LCM(61739,61759) = 3812938901

Least Common Multiple (LCM) of 61739 and 61759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61739 and 61759. First we will calculate the prime factors of 61739 and 61759.

Prime Factorization of 61739

Prime Factorization of 61759

Now multiplying the highest exponent prime factors to calculate the LCM of 61739 and 61759.

LCM(61739,61759) = 107¹ × 577¹ × 151¹ × 409¹
LCM(61739,61759) = 3812938901