What is the Least Common Multiple of 38615 and 38624?

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 38615 and 38624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38615 and 38624, than apply into the LCM equation.

GCF(38615,38624) = 1
LCM(38615,38624) = ( 38615 × 38624) / 1
LCM(38615,38624) = 1491465760 / 1
LCM(38615,38624) = 1491465760

Least Common Multiple (LCM) of 38615 and 38624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38615 and 38624. First we will calculate the prime factors of 38615 and 38624.

Prime Factorization of 38615

Prime Factorization of 38624

Now multiplying the highest exponent prime factors to calculate the LCM of 38615 and 38624.

LCM(38615,38624) = 5¹ × 7723¹ × 2⁵ × 17¹ × 71¹
LCM(38615,38624) = 1491465760