What is the Least Common Multiple of 11648 and 11662?

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 11648 and 11662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11648 and 11662, than apply into the LCM equation.

GCF(11648,11662) = 14
LCM(11648,11662) = ( 11648 × 11662) / 14
LCM(11648,11662) = 135838976 / 14
LCM(11648,11662) = 9702784

Least Common Multiple (LCM) of 11648 and 11662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11648 and 11662. First we will calculate the prime factors of 11648 and 11662.

Prime Factorization of 11648

Prime Factorization of 11662

Now multiplying the highest exponent prime factors to calculate the LCM of 11648 and 11662.

LCM(11648,11662) = 2⁷ × 7³ × 13¹ × 17¹
LCM(11648,11662) = 9702784