What is the Least Common Multiple of 38656 and 38670?

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 38656 and 38670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38656 and 38670, than apply into the LCM equation.

GCF(38656,38670) = 2
LCM(38656,38670) = ( 38656 × 38670) / 2
LCM(38656,38670) = 1494827520 / 2
LCM(38656,38670) = 747413760

Least Common Multiple (LCM) of 38656 and 38670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38656 and 38670. First we will calculate the prime factors of 38656 and 38670.

Prime Factorization of 38656

Prime Factorization of 38670

Now multiplying the highest exponent prime factors to calculate the LCM of 38656 and 38670.

LCM(38656,38670) = 2⁸ × 151¹ × 3¹ × 5¹ × 1289¹
LCM(38656,38670) = 747413760