What is the Least Common Multiple of 88635 and 88644?

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 88635 and 88644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88635 and 88644, than apply into the LCM equation.

GCF(88635,88644) = 3
LCM(88635,88644) = ( 88635 × 88644) / 3
LCM(88635,88644) = 7856960940 / 3
LCM(88635,88644) = 2618986980

Least Common Multiple (LCM) of 88635 and 88644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88635 and 88644. First we will calculate the prime factors of 88635 and 88644.

Prime Factorization of 88635

Prime Factorization of 88644

Now multiplying the highest exponent prime factors to calculate the LCM of 88635 and 88644.

LCM(88635,88644) = 3¹ × 5¹ × 19¹ × 311¹ × 2² × 83¹ × 89¹
LCM(88635,88644) = 2618986980