GCF and LCM Calculator Logo

What is the Least Common Multiple of 91726 and 91741?

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 91726 and 91741 is 8415034966.

LCM(91726,91741) = 8415034966

LCM Calculator and
and

Least Common Multiple of 91726 and 91741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91726 and 91741, than apply into the LCM equation.

GCF(91726,91741) = 1
LCM(91726,91741) = ( 91726 × 91741) / 1
LCM(91726,91741) = 8415034966 / 1
LCM(91726,91741) = 8415034966

Least Common Multiple (LCM) of 91726 and 91741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91726 and 91741. First we will calculate the prime factors of 91726 and 91741.

Prime Factorization of 91726

Prime factors of 91726 are 2, 45863. Prime factorization of 91726 in exponential form is:

91726 = 21 × 458631

Prime Factorization of 91741

Prime factors of 91741 are 13, 7057. Prime factorization of 91741 in exponential form is:

91741 = 131 × 70571

Now multiplying the highest exponent prime factors to calculate the LCM of 91726 and 91741.

LCM(91726,91741) = 21 × 458631 × 131 × 70571
LCM(91726,91741) = 8415034966