What is the Least Common Multiple of 30132 and 30151?

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 30132 and 30151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30132 and 30151, than apply into the LCM equation.

GCF(30132,30151) = 1
LCM(30132,30151) = ( 30132 × 30151) / 1
LCM(30132,30151) = 908509932 / 1
LCM(30132,30151) = 908509932

Least Common Multiple (LCM) of 30132 and 30151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30132 and 30151. First we will calculate the prime factors of 30132 and 30151.

Prime Factorization of 30132

Prime Factorization of 30151

Now multiplying the highest exponent prime factors to calculate the LCM of 30132 and 30151.

LCM(30132,30151) = 2² × 3⁵ × 31¹ × 11¹ × 2741¹
LCM(30132,30151) = 908509932