What is the Least Common Multiple of 43616 and 43629?

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 43616 and 43629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43616 and 43629, than apply into the LCM equation.

GCF(43616,43629) = 1
LCM(43616,43629) = ( 43616 × 43629) / 1
LCM(43616,43629) = 1902922464 / 1
LCM(43616,43629) = 1902922464

Least Common Multiple (LCM) of 43616 and 43629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43616 and 43629. First we will calculate the prime factors of 43616 and 43629.

Prime Factorization of 43616

Prime Factorization of 43629

Now multiplying the highest exponent prime factors to calculate the LCM of 43616 and 43629.

LCM(43616,43629) = 2⁵ × 29¹ × 47¹ × 3¹ × 14543¹
LCM(43616,43629) = 1902922464