What is the Least Common Multiple of 94638 and 94643?

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 94638 and 94643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94638 and 94643, than apply into the LCM equation.

GCF(94638,94643) = 1
LCM(94638,94643) = ( 94638 × 94643) / 1
LCM(94638,94643) = 8956824234 / 1
LCM(94638,94643) = 8956824234

Least Common Multiple (LCM) of 94638 and 94643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94638 and 94643. First we will calculate the prime factors of 94638 and 94643.

Prime Factorization of 94638

Prime Factorization of 94643

Now multiplying the highest exponent prime factors to calculate the LCM of 94638 and 94643.

LCM(94638,94643) = 2¹ × 3¹ × 15773¹ × 31¹ × 43¹ × 71¹
LCM(94638,94643) = 8956824234