What is the Least Common Multiple of 74180 and 74184?

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 74180 and 74184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74180 and 74184, than apply into the LCM equation.

GCF(74180,74184) = 4
LCM(74180,74184) = ( 74180 × 74184) / 4
LCM(74180,74184) = 5502969120 / 4
LCM(74180,74184) = 1375742280

Least Common Multiple (LCM) of 74180 and 74184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74180 and 74184. First we will calculate the prime factors of 74180 and 74184.

Prime Factorization of 74180

Prime Factorization of 74184

Now multiplying the highest exponent prime factors to calculate the LCM of 74180 and 74184.

LCM(74180,74184) = 2³ × 5¹ × 3709¹ × 3¹ × 11¹ × 281¹
LCM(74180,74184) = 1375742280