What is the Least Common Multiple of 38920 and 38928?

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 38920 and 38928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38920 and 38928, than apply into the LCM equation.

GCF(38920,38928) = 8
LCM(38920,38928) = ( 38920 × 38928) / 8
LCM(38920,38928) = 1515077760 / 8
LCM(38920,38928) = 189384720

Least Common Multiple (LCM) of 38920 and 38928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38920 and 38928. First we will calculate the prime factors of 38920 and 38928.

Prime Factorization of 38920

Prime Factorization of 38928

Now multiplying the highest exponent prime factors to calculate the LCM of 38920 and 38928.

LCM(38920,38928) = 2⁴ × 5¹ × 7¹ × 139¹ × 3¹ × 811¹
LCM(38920,38928) = 189384720