What is the Least Common Multiple of 41657 and 41677?

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 41657 and 41677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41657 and 41677, than apply into the LCM equation.

GCF(41657,41677) = 1
LCM(41657,41677) = ( 41657 × 41677) / 1
LCM(41657,41677) = 1736138789 / 1
LCM(41657,41677) = 1736138789

Least Common Multiple (LCM) of 41657 and 41677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41657 and 41677. First we will calculate the prime factors of 41657 and 41677.

Prime Factorization of 41657

Prime Factorization of 41677

Now multiplying the highest exponent prime factors to calculate the LCM of 41657 and 41677.

LCM(41657,41677) = 7¹ × 11¹ × 541¹ × 71¹ × 587¹
LCM(41657,41677) = 1736138789