What is the Least Common Multiple of 27302 and 27308?

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 27302 and 27308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27302 and 27308, than apply into the LCM equation.

GCF(27302,27308) = 2
LCM(27302,27308) = ( 27302 × 27308) / 2
LCM(27302,27308) = 745563016 / 2
LCM(27302,27308) = 372781508

Least Common Multiple (LCM) of 27302 and 27308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27302 and 27308. First we will calculate the prime factors of 27302 and 27308.

Prime Factorization of 27302

Prime Factorization of 27308

Now multiplying the highest exponent prime factors to calculate the LCM of 27302 and 27308.

LCM(27302,27308) = 2² × 11¹ × 17¹ × 73¹ × 6827¹
LCM(27302,27308) = 372781508