GCF and LCM Calculator Logo

What is the Least Common Multiple of 91530 and 91550?

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 91530 and 91550 is 837957150.

LCM(91530,91550) = 837957150

LCM Calculator and
and

Least Common Multiple of 91530 and 91550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91530 and 91550, than apply into the LCM equation.

GCF(91530,91550) = 10
LCM(91530,91550) = ( 91530 × 91550) / 10
LCM(91530,91550) = 8379571500 / 10
LCM(91530,91550) = 837957150

Least Common Multiple (LCM) of 91530 and 91550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91530 and 91550. First we will calculate the prime factors of 91530 and 91550.

Prime Factorization of 91530

Prime factors of 91530 are 2, 3, 5, 113. Prime factorization of 91530 in exponential form is:

91530 = 21 × 34 × 51 × 1131

Prime Factorization of 91550

Prime factors of 91550 are 2, 5, 1831. Prime factorization of 91550 in exponential form is:

91550 = 21 × 52 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 91530 and 91550.

LCM(91530,91550) = 21 × 34 × 52 × 1131 × 18311
LCM(91530,91550) = 837957150