What is the Least Common Multiple of 30460 and 30465?

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 30460 and 30465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30460 and 30465, than apply into the LCM equation.

GCF(30460,30465) = 5
LCM(30460,30465) = ( 30460 × 30465) / 5
LCM(30460,30465) = 927963900 / 5
LCM(30460,30465) = 185592780

Least Common Multiple (LCM) of 30460 and 30465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30460 and 30465. First we will calculate the prime factors of 30460 and 30465.

Prime Factorization of 30460

Prime Factorization of 30465

Now multiplying the highest exponent prime factors to calculate the LCM of 30460 and 30465.

LCM(30460,30465) = 2² × 5¹ × 1523¹ × 3² × 677¹
LCM(30460,30465) = 185592780