What is the Least Common Multiple of 94940 and 94956?

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 94940 and 94956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94940 and 94956, than apply into the LCM equation.

GCF(94940,94956) = 4
LCM(94940,94956) = ( 94940 × 94956) / 4
LCM(94940,94956) = 9015122640 / 4
LCM(94940,94956) = 2253780660

Least Common Multiple (LCM) of 94940 and 94956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94940 and 94956. First we will calculate the prime factors of 94940 and 94956.

Prime Factorization of 94940

Prime Factorization of 94956

Now multiplying the highest exponent prime factors to calculate the LCM of 94940 and 94956.

LCM(94940,94956) = 2² × 5¹ × 47¹ × 101¹ × 3¹ × 41¹ × 193¹
LCM(94940,94956) = 2253780660