What is the Least Common Multiple of 30270 and 30287?

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 30287 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 30287, than apply into the LCM equation.

GCF(30270,30287) = 1
LCM(30270,30287) = ( 30270 × 30287) / 1
LCM(30270,30287) = 916787490 / 1
LCM(30270,30287) = 916787490

Least Common Multiple (LCM) of 30270 and 30287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30270 and 30287. First we will calculate the prime factors of 30270 and 30287.

Prime Factorization of 30270

Prime Factorization of 30287

Now multiplying the highest exponent prime factors to calculate the LCM of 30270 and 30287.

LCM(30270,30287) = 2¹ × 3¹ × 5¹ × 1009¹ × 31¹ × 977¹
LCM(30270,30287) = 916787490