What is the Least Common Multiple of 27348 and 27364?

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 27348 and 27364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27348 and 27364, than apply into the LCM equation.

GCF(27348,27364) = 4
LCM(27348,27364) = ( 27348 × 27364) / 4
LCM(27348,27364) = 748350672 / 4
LCM(27348,27364) = 187087668

Least Common Multiple (LCM) of 27348 and 27364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27348 and 27364. First we will calculate the prime factors of 27348 and 27364.

Prime Factorization of 27348

Prime Factorization of 27364

Now multiplying the highest exponent prime factors to calculate the LCM of 27348 and 27364.

LCM(27348,27364) = 2² × 3¹ × 43¹ × 53¹ × 6841¹
LCM(27348,27364) = 187087668