What is the Least Common Multiple of 38904 and 38920?

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 38904 and 38920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38904 and 38920, than apply into the LCM equation.

GCF(38904,38920) = 8
LCM(38904,38920) = ( 38904 × 38920) / 8
LCM(38904,38920) = 1514143680 / 8
LCM(38904,38920) = 189267960

Least Common Multiple (LCM) of 38904 and 38920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38904 and 38920. First we will calculate the prime factors of 38904 and 38920.

Prime Factorization of 38904

Prime Factorization of 38920

Now multiplying the highest exponent prime factors to calculate the LCM of 38904 and 38920.

LCM(38904,38920) = 2³ × 3¹ × 1621¹ × 5¹ × 7¹ × 139¹
LCM(38904,38920) = 189267960