What is the Least Common Multiple of 74840 and 74855?

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 74840 and 74855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74840 and 74855, than apply into the LCM equation.

GCF(74840,74855) = 5
LCM(74840,74855) = ( 74840 × 74855) / 5
LCM(74840,74855) = 5602148200 / 5
LCM(74840,74855) = 1120429640

Least Common Multiple (LCM) of 74840 and 74855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74840 and 74855. First we will calculate the prime factors of 74840 and 74855.

Prime Factorization of 74840

Prime Factorization of 74855

Now multiplying the highest exponent prime factors to calculate the LCM of 74840 and 74855.

LCM(74840,74855) = 2³ × 5¹ × 1871¹ × 11¹ × 1361¹
LCM(74840,74855) = 1120429640