What is the Least Common Multiple of 94658 and 94677?

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 94658 and 94677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94658 and 94677, than apply into the LCM equation.

GCF(94658,94677) = 19
LCM(94658,94677) = ( 94658 × 94677) / 19
LCM(94658,94677) = 8961935466 / 19
LCM(94658,94677) = 471680814

Least Common Multiple (LCM) of 94658 and 94677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94658 and 94677. First we will calculate the prime factors of 94658 and 94677.

Prime Factorization of 94658

Prime Factorization of 94677

Now multiplying the highest exponent prime factors to calculate the LCM of 94658 and 94677.

LCM(94658,94677) = 2¹ × 19¹ × 47¹ × 53¹ × 3¹ × 11¹ × 151¹
LCM(94658,94677) = 471680814