What is the Least Common Multiple of 43614 and 43623?

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 43614 and 43623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43614 and 43623, than apply into the LCM equation.

GCF(43614,43623) = 9
LCM(43614,43623) = ( 43614 × 43623) / 9
LCM(43614,43623) = 1902573522 / 9
LCM(43614,43623) = 211397058

Least Common Multiple (LCM) of 43614 and 43623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43614 and 43623. First we will calculate the prime factors of 43614 and 43623.

Prime Factorization of 43614

Prime Factorization of 43623

Now multiplying the highest exponent prime factors to calculate the LCM of 43614 and 43623.

LCM(43614,43623) = 2¹ × 3² × 2423¹ × 37¹ × 131¹
LCM(43614,43623) = 211397058