What is the Least Common Multiple of 27198 and 27203?

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 27198 and 27203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27198 and 27203, than apply into the LCM equation.

GCF(27198,27203) = 1
LCM(27198,27203) = ( 27198 × 27203) / 1
LCM(27198,27203) = 739867194 / 1
LCM(27198,27203) = 739867194

Least Common Multiple (LCM) of 27198 and 27203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27198 and 27203. First we will calculate the prime factors of 27198 and 27203.

Prime Factorization of 27198

Prime Factorization of 27203

Now multiplying the highest exponent prime factors to calculate the LCM of 27198 and 27203.

LCM(27198,27203) = 2¹ × 3² × 1511¹ × 11¹ × 2473¹
LCM(27198,27203) = 739867194