What is the Least Common Multiple of 30460 and 30467?

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 30467 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 30467, than apply into the LCM equation.

GCF(30460,30467) = 1
LCM(30460,30467) = ( 30460 × 30467) / 1
LCM(30460,30467) = 928024820 / 1
LCM(30460,30467) = 928024820

Least Common Multiple (LCM) of 30460 and 30467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30460 and 30467. First we will calculate the prime factors of 30460 and 30467.

Prime Factorization of 30460

Prime Factorization of 30467

Now multiplying the highest exponent prime factors to calculate the LCM of 30460 and 30467.

LCM(30460,30467) = 2² × 5¹ × 1523¹ × 30467¹
LCM(30460,30467) = 928024820