What is the Least Common Multiple of 14624 and 14641?

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 14624 and 14641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14624 and 14641, than apply into the LCM equation.

GCF(14624,14641) = 1
LCM(14624,14641) = ( 14624 × 14641) / 1
LCM(14624,14641) = 214109984 / 1
LCM(14624,14641) = 214109984

Least Common Multiple (LCM) of 14624 and 14641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14624 and 14641. First we will calculate the prime factors of 14624 and 14641.

Prime Factorization of 14624

Prime Factorization of 14641

Now multiplying the highest exponent prime factors to calculate the LCM of 14624 and 14641.

LCM(14624,14641) = 2⁵ × 457¹ × 11⁴
LCM(14624,14641) = 214109984