What is the Least Common Multiple of 61657 and 61677?

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 61657 and 61677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61657 and 61677, than apply into the LCM equation.

GCF(61657,61677) = 1
LCM(61657,61677) = ( 61657 × 61677) / 1
LCM(61657,61677) = 3802818789 / 1
LCM(61657,61677) = 3802818789

Least Common Multiple (LCM) of 61657 and 61677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61657 and 61677. First we will calculate the prime factors of 61657 and 61677.

Prime Factorization of 61657

Prime Factorization of 61677

Now multiplying the highest exponent prime factors to calculate the LCM of 61657 and 61677.

LCM(61657,61677) = 61657¹ × 3² × 7¹ × 11¹ × 89¹
LCM(61657,61677) = 3802818789