What is the Least Common Multiple of 74080 and 74090?

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 74080 and 74090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74080 and 74090, than apply into the LCM equation.

GCF(74080,74090) = 10
LCM(74080,74090) = ( 74080 × 74090) / 10
LCM(74080,74090) = 5488587200 / 10
LCM(74080,74090) = 548858720

Least Common Multiple (LCM) of 74080 and 74090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74080 and 74090. First we will calculate the prime factors of 74080 and 74090.

Prime Factorization of 74080

Prime Factorization of 74090

Now multiplying the highest exponent prime factors to calculate the LCM of 74080 and 74090.

LCM(74080,74090) = 2⁵ × 5¹ × 463¹ × 31¹ × 239¹
LCM(74080,74090) = 548858720