What is the Least Common Multiple of 88624 and 88629?

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 88624 and 88629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88624 and 88629, than apply into the LCM equation.

GCF(88624,88629) = 1
LCM(88624,88629) = ( 88624 × 88629) / 1
LCM(88624,88629) = 7854656496 / 1
LCM(88624,88629) = 7854656496

Least Common Multiple (LCM) of 88624 and 88629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88624 and 88629. First we will calculate the prime factors of 88624 and 88629.

Prime Factorization of 88624

Prime Factorization of 88629

Now multiplying the highest exponent prime factors to calculate the LCM of 88624 and 88629.

LCM(88624,88629) = 2⁴ × 29¹ × 191¹ × 3¹ × 31¹ × 953¹
LCM(88624,88629) = 7854656496