What is the Least Common Multiple of 11638 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 11638 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 11638 and 11648, than apply into the LCM equation.

GCF(11638,11648) = 2
LCM(11638,11648) = ( 11638 × 11648) / 2
LCM(11638,11648) = 135559424 / 2
LCM(11638,11648) = 67779712

Least Common Multiple (LCM) of 11638 and 11648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11638 and 11648. First we will calculate the prime factors of 11638 and 11648.

Prime Factorization of 11638

Prime Factorization of 11648

Now multiplying the highest exponent prime factors to calculate the LCM of 11638 and 11648.

LCM(11638,11648) = 2⁷ × 11¹ × 23² × 7¹ × 13¹
LCM(11638,11648) = 67779712