What is the Least Common Multiple of 89892 and 89901?

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 89892 and 89901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89892 and 89901, than apply into the LCM equation.

GCF(89892,89901) = 9
LCM(89892,89901) = ( 89892 × 89901) / 9
LCM(89892,89901) = 8081380692 / 9
LCM(89892,89901) = 897931188

Least Common Multiple (LCM) of 89892 and 89901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89892 and 89901. First we will calculate the prime factors of 89892 and 89901.

Prime Factorization of 89892

Prime Factorization of 89901

Now multiplying the highest exponent prime factors to calculate the LCM of 89892 and 89901.

LCM(89892,89901) = 2² × 3² × 11¹ × 227¹ × 7¹ × 1427¹
LCM(89892,89901) = 897931188