What is the Least Common Multiple of 38960 and 38974?

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 38960 and 38974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38960 and 38974, than apply into the LCM equation.

GCF(38960,38974) = 2
LCM(38960,38974) = ( 38960 × 38974) / 2
LCM(38960,38974) = 1518427040 / 2
LCM(38960,38974) = 759213520

Least Common Multiple (LCM) of 38960 and 38974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38960 and 38974. First we will calculate the prime factors of 38960 and 38974.

Prime Factorization of 38960

Prime Factorization of 38974

Now multiplying the highest exponent prime factors to calculate the LCM of 38960 and 38974.

LCM(38960,38974) = 2⁴ × 5¹ × 487¹ × 13¹ × 1499¹
LCM(38960,38974) = 759213520