GCF and LCM Calculator Logo

What is the Least Common Multiple of 91910 and 91918?

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 91910 and 91918 is 4224091690.

LCM(91910,91918) = 4224091690

LCM Calculator and
and

Least Common Multiple of 91910 and 91918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91910 and 91918, than apply into the LCM equation.

GCF(91910,91918) = 2
LCM(91910,91918) = ( 91910 × 91918) / 2
LCM(91910,91918) = 8448183380 / 2
LCM(91910,91918) = 4224091690

Least Common Multiple (LCM) of 91910 and 91918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91910 and 91918. First we will calculate the prime factors of 91910 and 91918.

Prime Factorization of 91910

Prime factors of 91910 are 2, 5, 7, 13, 101. Prime factorization of 91910 in exponential form is:

91910 = 21 × 51 × 71 × 131 × 1011

Prime Factorization of 91918

Prime factors of 91918 are 2, 45959. Prime factorization of 91918 in exponential form is:

91918 = 21 × 459591

Now multiplying the highest exponent prime factors to calculate the LCM of 91910 and 91918.

LCM(91910,91918) = 21 × 51 × 71 × 131 × 1011 × 459591
LCM(91910,91918) = 4224091690