What is the Least Common Multiple of 88605 and 88624?

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 88605 and 88624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88605 and 88624, than apply into the LCM equation.

GCF(88605,88624) = 1
LCM(88605,88624) = ( 88605 × 88624) / 1
LCM(88605,88624) = 7852529520 / 1
LCM(88605,88624) = 7852529520

Least Common Multiple (LCM) of 88605 and 88624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88605 and 88624. First we will calculate the prime factors of 88605 and 88624.

Prime Factorization of 88605

Prime Factorization of 88624

Now multiplying the highest exponent prime factors to calculate the LCM of 88605 and 88624.

LCM(88605,88624) = 3² × 5¹ × 11¹ × 179¹ × 2⁴ × 29¹ × 191¹
LCM(88605,88624) = 7852529520