What is the Least Common Multiple of 89684 and 89697?

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 89684 and 89697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89684 and 89697, than apply into the LCM equation.

GCF(89684,89697) = 1
LCM(89684,89697) = ( 89684 × 89697) / 1
LCM(89684,89697) = 8044385748 / 1
LCM(89684,89697) = 8044385748

Least Common Multiple (LCM) of 89684 and 89697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89684 and 89697. First we will calculate the prime factors of 89684 and 89697.

Prime Factorization of 89684

Prime Factorization of 89697

Now multiplying the highest exponent prime factors to calculate the LCM of 89684 and 89697.

LCM(89684,89697) = 2² × 7¹ × 3203¹ × 3¹ × 29¹ × 1031¹
LCM(89684,89697) = 8044385748