What is the Least Common Multiple of 30258 and 30265?

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 30258 and 30265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30258 and 30265, than apply into the LCM equation.

GCF(30258,30265) = 1
LCM(30258,30265) = ( 30258 × 30265) / 1
LCM(30258,30265) = 915758370 / 1
LCM(30258,30265) = 915758370

Least Common Multiple (LCM) of 30258 and 30265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30258 and 30265. First we will calculate the prime factors of 30258 and 30265.

Prime Factorization of 30258

Prime Factorization of 30265

Now multiplying the highest exponent prime factors to calculate the LCM of 30258 and 30265.

LCM(30258,30265) = 2¹ × 3² × 41² × 5¹ × 6053¹
LCM(30258,30265) = 915758370