What is the Least Common Multiple of 18640 and 18656?

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 18640 and 18656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18640 and 18656, than apply into the LCM equation.

GCF(18640,18656) = 16
LCM(18640,18656) = ( 18640 × 18656) / 16
LCM(18640,18656) = 347747840 / 16
LCM(18640,18656) = 21734240

Least Common Multiple (LCM) of 18640 and 18656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18640 and 18656. First we will calculate the prime factors of 18640 and 18656.

Prime Factorization of 18640

Prime Factorization of 18656

Now multiplying the highest exponent prime factors to calculate the LCM of 18640 and 18656.

LCM(18640,18656) = 2⁵ × 5¹ × 233¹ × 11¹ × 53¹
LCM(18640,18656) = 21734240