What is the Least Common Multiple of 38115 and 38128?

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 38115 and 38128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38115 and 38128, than apply into the LCM equation.

GCF(38115,38128) = 1
LCM(38115,38128) = ( 38115 × 38128) / 1
LCM(38115,38128) = 1453248720 / 1
LCM(38115,38128) = 1453248720

Least Common Multiple (LCM) of 38115 and 38128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38115 and 38128. First we will calculate the prime factors of 38115 and 38128.

Prime Factorization of 38115

Prime Factorization of 38128

Now multiplying the highest exponent prime factors to calculate the LCM of 38115 and 38128.

LCM(38115,38128) = 3² × 5¹ × 7¹ × 11² × 2⁴ × 2383¹
LCM(38115,38128) = 1453248720