What is the Least Common Multiple of 30270 and 30279?

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 30270 and 30279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30270 and 30279, than apply into the LCM equation.

GCF(30270,30279) = 3
LCM(30270,30279) = ( 30270 × 30279) / 3
LCM(30270,30279) = 916545330 / 3
LCM(30270,30279) = 305515110

Least Common Multiple (LCM) of 30270 and 30279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30270 and 30279. First we will calculate the prime factors of 30270 and 30279.

Prime Factorization of 30270

Prime Factorization of 30279

Now multiplying the highest exponent prime factors to calculate the LCM of 30270 and 30279.

LCM(30270,30279) = 2¹ × 3¹ × 5¹ × 1009¹ × 10093¹
LCM(30270,30279) = 305515110