What is the Least Common Multiple of 74280 and 74295?

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 74280 and 74295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74280 and 74295, than apply into the LCM equation.

GCF(74280,74295) = 15
LCM(74280,74295) = ( 74280 × 74295) / 15
LCM(74280,74295) = 5518632600 / 15
LCM(74280,74295) = 367908840

Least Common Multiple (LCM) of 74280 and 74295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74280 and 74295. First we will calculate the prime factors of 74280 and 74295.

Prime Factorization of 74280

Prime Factorization of 74295

Now multiplying the highest exponent prime factors to calculate the LCM of 74280 and 74295.

LCM(74280,74295) = 2³ × 3² × 5¹ × 619¹ × 13¹ × 127¹
LCM(74280,74295) = 367908840