What is the Least Common Multiple of 42640 and 42656?

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 42640 and 42656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42640 and 42656, than apply into the LCM equation.

GCF(42640,42656) = 16
LCM(42640,42656) = ( 42640 × 42656) / 16
LCM(42640,42656) = 1818851840 / 16
LCM(42640,42656) = 113678240

Least Common Multiple (LCM) of 42640 and 42656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42640 and 42656. First we will calculate the prime factors of 42640 and 42656.

Prime Factorization of 42640

Prime Factorization of 42656

Now multiplying the highest exponent prime factors to calculate the LCM of 42640 and 42656.

LCM(42640,42656) = 2⁵ × 5¹ × 13¹ × 41¹ × 31¹ × 43¹
LCM(42640,42656) = 113678240