What is the Least Common Multiple of 27198 and 27211?

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 27211 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 27211, than apply into the LCM equation.

GCF(27198,27211) = 1
LCM(27198,27211) = ( 27198 × 27211) / 1
LCM(27198,27211) = 740084778 / 1
LCM(27198,27211) = 740084778

Least Common Multiple (LCM) of 27198 and 27211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27198 and 27211. First we will calculate the prime factors of 27198 and 27211.

Prime Factorization of 27198

Prime Factorization of 27211

Now multiplying the highest exponent prime factors to calculate the LCM of 27198 and 27211.

LCM(27198,27211) = 2¹ × 3² × 1511¹ × 27211¹
LCM(27198,27211) = 740084778