GCF and LCM Calculator Logo

What is the Least Common Multiple of 30101 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 30101 and 30115 is 906491615.

LCM(30101,30115) = 906491615

LCM Calculator and
and

Least Common Multiple of 30101 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 30101 and 30115, than apply into the LCM equation.

GCF(30101,30115) = 1
LCM(30101,30115) = ( 30101 × 30115) / 1
LCM(30101,30115) = 906491615 / 1
LCM(30101,30115) = 906491615

Least Common Multiple (LCM) of 30101 and 30115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30101 and 30115. First we will calculate the prime factors of 30101 and 30115.

Prime Factorization of 30101

Prime factors of 30101 are 31, 971. Prime factorization of 30101 in exponential form is:

30101 = 311 × 9711

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 30101 and 30115.

LCM(30101,30115) = 311 × 9711 × 51 × 191 × 3171
LCM(30101,30115) = 906491615