GCF and LCM Calculator Logo

What is the Least Common Multiple of 91405 and 91420?

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 91405 and 91420 is 1671249020.

LCM(91405,91420) = 1671249020

LCM Calculator and
and

Least Common Multiple of 91405 and 91420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91405 and 91420, than apply into the LCM equation.

GCF(91405,91420) = 5
LCM(91405,91420) = ( 91405 × 91420) / 5
LCM(91405,91420) = 8356245100 / 5
LCM(91405,91420) = 1671249020

Least Common Multiple (LCM) of 91405 and 91420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91405 and 91420. First we will calculate the prime factors of 91405 and 91420.

Prime Factorization of 91405

Prime factors of 91405 are 5, 101, 181. Prime factorization of 91405 in exponential form is:

91405 = 51 × 1011 × 1811

Prime Factorization of 91420

Prime factors of 91420 are 2, 5, 7, 653. Prime factorization of 91420 in exponential form is:

91420 = 22 × 51 × 71 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 91405 and 91420.

LCM(91405,91420) = 51 × 1011 × 1811 × 22 × 71 × 6531
LCM(91405,91420) = 1671249020