What is the Least Common Multiple of 30148 and 30167?

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 30148 and 30167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30148 and 30167, than apply into the LCM equation.

GCF(30148,30167) = 1
LCM(30148,30167) = ( 30148 × 30167) / 1
LCM(30148,30167) = 909474716 / 1
LCM(30148,30167) = 909474716

Least Common Multiple (LCM) of 30148 and 30167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30148 and 30167. First we will calculate the prime factors of 30148 and 30167.

Prime Factorization of 30148

Prime Factorization of 30167

Now multiplying the highest exponent prime factors to calculate the LCM of 30148 and 30167.

LCM(30148,30167) = 2² × 7537¹ × 97¹ × 311¹
LCM(30148,30167) = 909474716