What is the Least Common Multiple of 89718 and 89737?

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 89718 and 89737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89718 and 89737, than apply into the LCM equation.

GCF(89718,89737) = 19
LCM(89718,89737) = ( 89718 × 89737) / 19
LCM(89718,89737) = 8051024166 / 19
LCM(89718,89737) = 423738114

Least Common Multiple (LCM) of 89718 and 89737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89718 and 89737. First we will calculate the prime factors of 89718 and 89737.

Prime Factorization of 89718

Prime Factorization of 89737

Now multiplying the highest exponent prime factors to calculate the LCM of 89718 and 89737.

LCM(89718,89737) = 2¹ × 3¹ × 19¹ × 787¹ × 4723¹
LCM(89718,89737) = 423738114