What is the Least Common Multiple of 88974 and 88993?

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 88974 and 88993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88974 and 88993, than apply into the LCM equation.

GCF(88974,88993) = 1
LCM(88974,88993) = ( 88974 × 88993) / 1
LCM(88974,88993) = 7918063182 / 1
LCM(88974,88993) = 7918063182

Least Common Multiple (LCM) of 88974 and 88993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88974 and 88993. First we will calculate the prime factors of 88974 and 88993.

Prime Factorization of 88974

Prime Factorization of 88993

Now multiplying the highest exponent prime factors to calculate the LCM of 88974 and 88993.

LCM(88974,88993) = 2¹ × 3² × 4943¹ × 88993¹
LCM(88974,88993) = 7918063182