What is the Least Common Multiple of 24657 and 24677?

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 24657 and 24677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24657 and 24677, than apply into the LCM equation.

GCF(24657,24677) = 1
LCM(24657,24677) = ( 24657 × 24677) / 1
LCM(24657,24677) = 608460789 / 1
LCM(24657,24677) = 608460789

Least Common Multiple (LCM) of 24657 and 24677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24657 and 24677. First we will calculate the prime factors of 24657 and 24677.

Prime Factorization of 24657

Prime Factorization of 24677

Now multiplying the highest exponent prime factors to calculate the LCM of 24657 and 24677.

LCM(24657,24677) = 3¹ × 8219¹ × 24677¹
LCM(24657,24677) = 608460789