What is the Least Common Multiple of 89663 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 89663 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 89663 and 89677, than apply into the LCM equation.

GCF(89663,89677) = 7
LCM(89663,89677) = ( 89663 × 89677) / 7
LCM(89663,89677) = 8040708851 / 7
LCM(89663,89677) = 1148672693

Least Common Multiple (LCM) of 89663 and 89677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89663 and 89677. First we will calculate the prime factors of 89663 and 89677.

Prime Factorization of 89663

Prime Factorization of 89677

Now multiplying the highest exponent prime factors to calculate the LCM of 89663 and 89677.

LCM(89663,89677) = 7¹ × 12809¹ × 23¹ × 557¹
LCM(89663,89677) = 1148672693