What is the Least Common Multiple of 94643 and 94651?

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 94643 and 94651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94643 and 94651, than apply into the LCM equation.

GCF(94643,94651) = 1
LCM(94643,94651) = ( 94643 × 94651) / 1
LCM(94643,94651) = 8958054593 / 1
LCM(94643,94651) = 8958054593

Least Common Multiple (LCM) of 94643 and 94651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94643 and 94651. First we will calculate the prime factors of 94643 and 94651.

Prime Factorization of 94643

Prime Factorization of 94651

Now multiplying the highest exponent prime factors to calculate the LCM of 94643 and 94651.

LCM(94643,94651) = 31¹ × 43¹ × 71¹ × 94651¹
LCM(94643,94651) = 8958054593