GCF and LCM Calculator Logo

What is the Least Common Multiple of 91694 and 91710?

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 91694 and 91710 is 4204628370.

LCM(91694,91710) = 4204628370

LCM Calculator and
and

Least Common Multiple of 91694 and 91710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91694 and 91710, than apply into the LCM equation.

GCF(91694,91710) = 2
LCM(91694,91710) = ( 91694 × 91710) / 2
LCM(91694,91710) = 8409256740 / 2
LCM(91694,91710) = 4204628370

Least Common Multiple (LCM) of 91694 and 91710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91694 and 91710. First we will calculate the prime factors of 91694 and 91710.

Prime Factorization of 91694

Prime factors of 91694 are 2, 19, 127. Prime factorization of 91694 in exponential form is:

91694 = 21 × 192 × 1271

Prime Factorization of 91710

Prime factors of 91710 are 2, 3, 5, 1019. Prime factorization of 91710 in exponential form is:

91710 = 21 × 32 × 51 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 91694 and 91710.

LCM(91694,91710) = 21 × 192 × 1271 × 32 × 51 × 10191
LCM(91694,91710) = 4204628370