What is the Least Common Multiple of 38536 and 38544?

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 38536 and 38544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38536 and 38544, than apply into the LCM equation.

GCF(38536,38544) = 8
LCM(38536,38544) = ( 38536 × 38544) / 8
LCM(38536,38544) = 1485331584 / 8
LCM(38536,38544) = 185666448

Least Common Multiple (LCM) of 38536 and 38544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38536 and 38544. First we will calculate the prime factors of 38536 and 38544.

Prime Factorization of 38536

Prime Factorization of 38544

Now multiplying the highest exponent prime factors to calculate the LCM of 38536 and 38544.

LCM(38536,38544) = 2⁴ × 4817¹ × 3¹ × 11¹ × 73¹
LCM(38536,38544) = 185666448