What is the Least Common Multiple of 71304 and 71308?

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 71304 and 71308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71304 and 71308, than apply into the LCM equation.

GCF(71304,71308) = 4
LCM(71304,71308) = ( 71304 × 71308) / 4
LCM(71304,71308) = 5084545632 / 4
LCM(71304,71308) = 1271136408

Least Common Multiple (LCM) of 71304 and 71308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71304 and 71308. First we will calculate the prime factors of 71304 and 71308.

Prime Factorization of 71304

Prime Factorization of 71308

Now multiplying the highest exponent prime factors to calculate the LCM of 71304 and 71308.

LCM(71304,71308) = 2³ × 3¹ × 2971¹ × 17827¹
LCM(71304,71308) = 1271136408