What is the Least Common Multiple of 30278 and 30285?

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 30278 and 30285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30278 and 30285, than apply into the LCM equation.

GCF(30278,30285) = 1
LCM(30278,30285) = ( 30278 × 30285) / 1
LCM(30278,30285) = 916969230 / 1
LCM(30278,30285) = 916969230

Least Common Multiple (LCM) of 30278 and 30285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30278 and 30285. First we will calculate the prime factors of 30278 and 30285.

Prime Factorization of 30278

Prime Factorization of 30285

Now multiplying the highest exponent prime factors to calculate the LCM of 30278 and 30285.

LCM(30278,30285) = 2¹ × 15139¹ × 3² × 5¹ × 673¹
LCM(30278,30285) = 916969230