What is the Least Common Multiple of 11785 and 11801?

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 of 11785 and 11801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11785 and 11801, than apply into the LCM equation.

GCF(11785,11801) = 1
LCM(11785,11801) = ( 11785 × 11801) / 1
LCM(11785,11801) = 139074785 / 1
LCM(11785,11801) = 139074785

Least Common Multiple (LCM) of 11785 and 11801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11785 and 11801. First we will calculate the prime factors of 11785 and 11801.

Prime Factorization of 11785

Prime Factorization of 11801

Now multiplying the highest exponent prime factors to calculate the LCM of 11785 and 11801.

LCM(11785,11801) = 5¹ × 2357¹ × 11801¹
LCM(11785,11801) = 139074785