GCF and LCM Calculator Logo

What is the Least Common Multiple of 91930 and 91935?

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 91930 and 91935 is 1690316910.

LCM(91930,91935) = 1690316910

LCM Calculator and
and

Least Common Multiple of 91930 and 91935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91930 and 91935, than apply into the LCM equation.

GCF(91930,91935) = 5
LCM(91930,91935) = ( 91930 × 91935) / 5
LCM(91930,91935) = 8451584550 / 5
LCM(91930,91935) = 1690316910

Least Common Multiple (LCM) of 91930 and 91935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91930 and 91935. First we will calculate the prime factors of 91930 and 91935.

Prime Factorization of 91930

Prime factors of 91930 are 2, 5, 29, 317. Prime factorization of 91930 in exponential form is:

91930 = 21 × 51 × 291 × 3171

Prime Factorization of 91935

Prime factors of 91935 are 3, 5, 227. Prime factorization of 91935 in exponential form is:

91935 = 34 × 51 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 91930 and 91935.

LCM(91930,91935) = 21 × 51 × 291 × 3171 × 34 × 2271
LCM(91930,91935) = 1690316910