GCF and LCM Calculator Logo

What is the Least Common Multiple of 30130 and 30136?

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 30130 and 30136 is 453998840.

LCM(30130,30136) = 453998840

LCM Calculator and
and

Least Common Multiple of 30130 and 30136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30130 and 30136, than apply into the LCM equation.

GCF(30130,30136) = 2
LCM(30130,30136) = ( 30130 × 30136) / 2
LCM(30130,30136) = 907997680 / 2
LCM(30130,30136) = 453998840

Least Common Multiple (LCM) of 30130 and 30136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30130 and 30136. First we will calculate the prime factors of 30130 and 30136.

Prime Factorization of 30130

Prime factors of 30130 are 2, 5, 23, 131. Prime factorization of 30130 in exponential form is:

30130 = 21 × 51 × 231 × 1311

Prime Factorization of 30136

Prime factors of 30136 are 2, 3767. Prime factorization of 30136 in exponential form is:

30136 = 23 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 30130 and 30136.

LCM(30130,30136) = 23 × 51 × 231 × 1311 × 37671
LCM(30130,30136) = 453998840