GCF and LCM Calculator Logo

What is the Least Common Multiple of 30150 and 30161?

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 (LCM) of 30150 and 30161 is 909354150.

LCM(30150,30161) = 909354150

LCM Calculator and
and

Least Common Multiple of 30150 and 30161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30150 and 30161, than apply into the LCM equation.

GCF(30150,30161) = 1
LCM(30150,30161) = ( 30150 × 30161) / 1
LCM(30150,30161) = 909354150 / 1
LCM(30150,30161) = 909354150

Least Common Multiple (LCM) of 30150 and 30161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30150 and 30161. First we will calculate the prime factors of 30150 and 30161.

Prime Factorization of 30150

Prime factors of 30150 are 2, 3, 5, 67. Prime factorization of 30150 in exponential form is:

30150 = 21 × 32 × 52 × 671

Prime Factorization of 30161

Prime factors of 30161 are 30161. Prime factorization of 30161 in exponential form is:

30161 = 301611

Now multiplying the highest exponent prime factors to calculate the LCM of 30150 and 30161.

LCM(30150,30161) = 21 × 32 × 52 × 671 × 301611
LCM(30150,30161) = 909354150