GCF and LCM Calculator Logo

What is the Least Common Multiple of 30106 and 30115?

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 30106 and 30115 is 906642190.

LCM(30106,30115) = 906642190

LCM Calculator and
and

Least Common Multiple of 30106 and 30115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30106 and 30115, than apply into the LCM equation.

GCF(30106,30115) = 1
LCM(30106,30115) = ( 30106 × 30115) / 1
LCM(30106,30115) = 906642190 / 1
LCM(30106,30115) = 906642190

Least Common Multiple (LCM) of 30106 and 30115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30106 and 30115. First we will calculate the prime factors of 30106 and 30115.

Prime Factorization of 30106

Prime factors of 30106 are 2, 15053. Prime factorization of 30106 in exponential form is:

30106 = 21 × 150531

Prime Factorization of 30115

Prime factors of 30115 are 5, 19, 317. Prime factorization of 30115 in exponential form is:

30115 = 51 × 191 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 30106 and 30115.

LCM(30106,30115) = 21 × 150531 × 51 × 191 × 3171
LCM(30106,30115) = 906642190