What is the Least Common Multiple of 38252 and 38272?

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 38252 and 38272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38252 and 38272, than apply into the LCM equation.

GCF(38252,38272) = 4
LCM(38252,38272) = ( 38252 × 38272) / 4
LCM(38252,38272) = 1463980544 / 4
LCM(38252,38272) = 365995136

Least Common Multiple (LCM) of 38252 and 38272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38252 and 38272. First we will calculate the prime factors of 38252 and 38272.

Prime Factorization of 38252

Prime Factorization of 38272

Now multiplying the highest exponent prime factors to calculate the LCM of 38252 and 38272.

LCM(38252,38272) = 2⁷ × 73¹ × 131¹ × 13¹ × 23¹
LCM(38252,38272) = 365995136