What is the Least Common Multiple of 89918 and 89923?

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 89918 and 89923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89918 and 89923, than apply into the LCM equation.

GCF(89918,89923) = 1
LCM(89918,89923) = ( 89918 × 89923) / 1
LCM(89918,89923) = 8085696314 / 1
LCM(89918,89923) = 8085696314

Least Common Multiple (LCM) of 89918 and 89923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89918 and 89923. First we will calculate the prime factors of 89918 and 89923.

Prime Factorization of 89918

Prime Factorization of 89923

Now multiplying the highest exponent prime factors to calculate the LCM of 89918 and 89923.

LCM(89918,89923) = 2¹ × 44959¹ × 89923¹
LCM(89918,89923) = 8085696314