GCF and LCM Calculator Logo

What is the Least Common Multiple of 94101 and 94110?

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 94101 and 94110 is 2951948370.

LCM(94101,94110) = 2951948370

LCM Calculator and
and

Least Common Multiple of 94101 and 94110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94101 and 94110, than apply into the LCM equation.

GCF(94101,94110) = 3
LCM(94101,94110) = ( 94101 × 94110) / 3
LCM(94101,94110) = 8855845110 / 3
LCM(94101,94110) = 2951948370

Least Common Multiple (LCM) of 94101 and 94110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94101 and 94110. First we will calculate the prime factors of 94101 and 94110.

Prime Factorization of 94101

Prime factors of 94101 are 3, 7, 4481. Prime factorization of 94101 in exponential form is:

94101 = 31 × 71 × 44811

Prime Factorization of 94110

Prime factors of 94110 are 2, 3, 5, 3137. Prime factorization of 94110 in exponential form is:

94110 = 21 × 31 × 51 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 94101 and 94110.

LCM(94101,94110) = 31 × 71 × 44811 × 21 × 51 × 31371
LCM(94101,94110) = 2951948370