What is the Least Common Multiple of 24657 and 24671?

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 24671 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 24671, than apply into the LCM equation.

GCF(24657,24671) = 1
LCM(24657,24671) = ( 24657 × 24671) / 1
LCM(24657,24671) = 608312847 / 1
LCM(24657,24671) = 608312847

Least Common Multiple (LCM) of 24657 and 24671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24657 and 24671. First we will calculate the prime factors of 24657 and 24671.

Prime Factorization of 24657

Prime Factorization of 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 24657 and 24671.

LCM(24657,24671) = 3¹ × 8219¹ × 24671¹
LCM(24657,24671) = 608312847