What is the Least Common Multiple of 74065 and 74080?

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 74065 and 74080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74065 and 74080, than apply into the LCM equation.

GCF(74065,74080) = 5
LCM(74065,74080) = ( 74065 × 74080) / 5
LCM(74065,74080) = 5486735200 / 5
LCM(74065,74080) = 1097347040

Least Common Multiple (LCM) of 74065 and 74080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74065 and 74080. First we will calculate the prime factors of 74065 and 74080.

Prime Factorization of 74065

Prime Factorization of 74080

Now multiplying the highest exponent prime factors to calculate the LCM of 74065 and 74080.

LCM(74065,74080) = 5¹ × 14813¹ × 2⁵ × 463¹
LCM(74065,74080) = 1097347040