What is the Least Common Multiple of 10637 and 10648?

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 10637 and 10648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10637 and 10648, than apply into the LCM equation.

GCF(10637,10648) = 11
LCM(10637,10648) = ( 10637 × 10648) / 11
LCM(10637,10648) = 113262776 / 11
LCM(10637,10648) = 10296616

Least Common Multiple (LCM) of 10637 and 10648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10637 and 10648. First we will calculate the prime factors of 10637 and 10648.

Prime Factorization of 10637

Prime Factorization of 10648

Now multiplying the highest exponent prime factors to calculate the LCM of 10637 and 10648.

LCM(10637,10648) = 11³ × 967¹ × 2³
LCM(10637,10648) = 10296616