GCF and LCM Calculator Logo

What is the Least Common Multiple of 94945 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 (LCM) of 94945 and 94956 is 9015597420.

LCM(94945,94956) = 9015597420

LCM Calculator and
and

Least Common Multiple of 94945 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 94945 and 94956, than apply into the LCM equation.

GCF(94945,94956) = 1
LCM(94945,94956) = ( 94945 × 94956) / 1
LCM(94945,94956) = 9015597420 / 1
LCM(94945,94956) = 9015597420

Least Common Multiple (LCM) of 94945 and 94956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94945 and 94956. First we will calculate the prime factors of 94945 and 94956.

Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 51 × 171 × 11171

Prime Factorization of 94956

Prime factors of 94956 are 2, 3, 41, 193. Prime factorization of 94956 in exponential form is:

94956 = 22 × 31 × 411 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 94945 and 94956.

LCM(94945,94956) = 51 × 171 × 11171 × 22 × 31 × 411 × 1931
LCM(94945,94956) = 9015597420