What is the Least Common Multiple of 11635 and 11648?

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 11648 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 11648, than apply into the LCM equation.

GCF(11635,11648) = 13
LCM(11635,11648) = ( 11635 × 11648) / 13
LCM(11635,11648) = 135524480 / 13
LCM(11635,11648) = 10424960

Least Common Multiple (LCM) of 11635 and 11648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11635 and 11648. First we will calculate the prime factors of 11635 and 11648.

Prime Factorization of 11635

Prime Factorization of 11648

Now multiplying the highest exponent prime factors to calculate the LCM of 11635 and 11648.

LCM(11635,11648) = 5¹ × 13¹ × 179¹ × 2⁷ × 7¹
LCM(11635,11648) = 10424960