What is the Least Common Multiple of 11635 and 11641?

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 11635 and 11641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11635 and 11641, than apply into the LCM equation.

GCF(11635,11641) = 1
LCM(11635,11641) = ( 11635 × 11641) / 1
LCM(11635,11641) = 135443035 / 1
LCM(11635,11641) = 135443035

Least Common Multiple (LCM) of 11635 and 11641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11635 and 11641. First we will calculate the prime factors of 11635 and 11641.

Prime Factorization of 11635

Prime Factorization of 11641

Now multiplying the highest exponent prime factors to calculate the LCM of 11635 and 11641.

LCM(11635,11641) = 5¹ × 13¹ × 179¹ × 7¹ × 1663¹
LCM(11635,11641) = 135443035