What is the Least Common Multiple of 74825 and 74840?

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 74825 and 74840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74825 and 74840, than apply into the LCM equation.

GCF(74825,74840) = 5
LCM(74825,74840) = ( 74825 × 74840) / 5
LCM(74825,74840) = 5599903000 / 5
LCM(74825,74840) = 1119980600

Least Common Multiple (LCM) of 74825 and 74840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74825 and 74840. First we will calculate the prime factors of 74825 and 74840.

Prime Factorization of 74825

Prime Factorization of 74840

Now multiplying the highest exponent prime factors to calculate the LCM of 74825 and 74840.

LCM(74825,74840) = 5² × 41¹ × 73¹ × 2³ × 1871¹
LCM(74825,74840) = 1119980600