What is the Least Common Multiple of 38544 and 38550?

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 38544 and 38550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38544 and 38550, than apply into the LCM equation.

GCF(38544,38550) = 6
LCM(38544,38550) = ( 38544 × 38550) / 6
LCM(38544,38550) = 1485871200 / 6
LCM(38544,38550) = 247645200

Least Common Multiple (LCM) of 38544 and 38550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38544 and 38550. First we will calculate the prime factors of 38544 and 38550.

Prime Factorization of 38544

Prime Factorization of 38550

Now multiplying the highest exponent prime factors to calculate the LCM of 38544 and 38550.

LCM(38544,38550) = 2⁴ × 3¹ × 11¹ × 73¹ × 5² × 257¹
LCM(38544,38550) = 247645200