What is the Least Common Multiple of 15040 and 15057?

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 15040 and 15057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15040 and 15057, than apply into the LCM equation.

GCF(15040,15057) = 1
LCM(15040,15057) = ( 15040 × 15057) / 1
LCM(15040,15057) = 226457280 / 1
LCM(15040,15057) = 226457280

Least Common Multiple (LCM) of 15040 and 15057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15040 and 15057. First we will calculate the prime factors of 15040 and 15057.

Prime Factorization of 15040

Prime Factorization of 15057

Now multiplying the highest exponent prime factors to calculate the LCM of 15040 and 15057.

LCM(15040,15057) = 2⁶ × 5¹ × 47¹ × 3² × 7¹ × 239¹
LCM(15040,15057) = 226457280