What is the Least Common Multiple of 89940 and 89955?

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 89940 and 89955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89940 and 89955, than apply into the LCM equation.

GCF(89940,89955) = 15
LCM(89940,89955) = ( 89940 × 89955) / 15
LCM(89940,89955) = 8090552700 / 15
LCM(89940,89955) = 539370180

Least Common Multiple (LCM) of 89940 and 89955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89940 and 89955. First we will calculate the prime factors of 89940 and 89955.

Prime Factorization of 89940

Prime Factorization of 89955

Now multiplying the highest exponent prime factors to calculate the LCM of 89940 and 89955.

LCM(89940,89955) = 2² × 3² × 5¹ × 1499¹ × 1999¹
LCM(89940,89955) = 539370180