What is the Least Common Multiple of 89671 and 89677?

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 89671 and 89677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89671 and 89677, than apply into the LCM equation.

GCF(89671,89677) = 1
LCM(89671,89677) = ( 89671 × 89677) / 1
LCM(89671,89677) = 8041426267 / 1
LCM(89671,89677) = 8041426267

Least Common Multiple (LCM) of 89671 and 89677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89671 and 89677. First we will calculate the prime factors of 89671 and 89677.

Prime Factorization of 89671

Prime Factorization of 89677

Now multiplying the highest exponent prime factors to calculate the LCM of 89671 and 89677.

LCM(89671,89677) = 89671¹ × 7¹ × 23¹ × 557¹
LCM(89671,89677) = 8041426267