What is the Least Common Multiple of 15074 and 15080?

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 15074 and 15080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15074 and 15080, than apply into the LCM equation.

GCF(15074,15080) = 2
LCM(15074,15080) = ( 15074 × 15080) / 2
LCM(15074,15080) = 227315920 / 2
LCM(15074,15080) = 113657960

Least Common Multiple (LCM) of 15074 and 15080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15074 and 15080. First we will calculate the prime factors of 15074 and 15080.

Prime Factorization of 15074

Prime Factorization of 15080

Now multiplying the highest exponent prime factors to calculate the LCM of 15074 and 15080.

LCM(15074,15080) = 2³ × 7537¹ × 5¹ × 13¹ × 29¹
LCM(15074,15080) = 113657960