What is the Least Common Multiple of 30282 and 30290?

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 30282 and 30290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30282 and 30290, than apply into the LCM equation.

GCF(30282,30290) = 2
LCM(30282,30290) = ( 30282 × 30290) / 2
LCM(30282,30290) = 917241780 / 2
LCM(30282,30290) = 458620890

Least Common Multiple (LCM) of 30282 and 30290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30282 and 30290. First we will calculate the prime factors of 30282 and 30290.

Prime Factorization of 30282

Prime Factorization of 30290

Now multiplying the highest exponent prime factors to calculate the LCM of 30282 and 30290.

LCM(30282,30290) = 2¹ × 3¹ × 7² × 103¹ × 5¹ × 13¹ × 233¹
LCM(30282,30290) = 458620890