GCF and LCM Calculator Logo

What is the Least Common Multiple of 94970 and 94983?

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 94970 and 94983 is 9020535510.

LCM(94970,94983) = 9020535510

LCM Calculator and
and

Least Common Multiple of 94970 and 94983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94970 and 94983, than apply into the LCM equation.

GCF(94970,94983) = 1
LCM(94970,94983) = ( 94970 × 94983) / 1
LCM(94970,94983) = 9020535510 / 1
LCM(94970,94983) = 9020535510

Least Common Multiple (LCM) of 94970 and 94983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94970 and 94983. First we will calculate the prime factors of 94970 and 94983.

Prime Factorization of 94970

Prime factors of 94970 are 2, 5, 9497. Prime factorization of 94970 in exponential form is:

94970 = 21 × 51 × 94971

Prime Factorization of 94983

Prime factors of 94983 are 3, 7, 4523. Prime factorization of 94983 in exponential form is:

94983 = 31 × 71 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 94970 and 94983.

LCM(94970,94983) = 21 × 51 × 94971 × 31 × 71 × 45231
LCM(94970,94983) = 9020535510