What is the Least Common Multiple of 38240 and 38254?

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 38240 and 38254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38240 and 38254, than apply into the LCM equation.

GCF(38240,38254) = 2
LCM(38240,38254) = ( 38240 × 38254) / 2
LCM(38240,38254) = 1462832960 / 2
LCM(38240,38254) = 731416480

Least Common Multiple (LCM) of 38240 and 38254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38240 and 38254. First we will calculate the prime factors of 38240 and 38254.

Prime Factorization of 38240

Prime Factorization of 38254

Now multiplying the highest exponent prime factors to calculate the LCM of 38240 and 38254.

LCM(38240,38254) = 2⁵ × 5¹ × 239¹ × 31¹ × 617¹
LCM(38240,38254) = 731416480