GCF and LCM Calculator Logo

What is the Least Common Multiple of 18295 and 18306?

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 18295 and 18306 is 334908270.

LCM(18295,18306) = 334908270

LCM Calculator and
and

Least Common Multiple of 18295 and 18306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18295 and 18306, than apply into the LCM equation.

GCF(18295,18306) = 1
LCM(18295,18306) = ( 18295 × 18306) / 1
LCM(18295,18306) = 334908270 / 1
LCM(18295,18306) = 334908270

Least Common Multiple (LCM) of 18295 and 18306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18295 and 18306. First we will calculate the prime factors of 18295 and 18306.

Prime Factorization of 18295

Prime factors of 18295 are 5, 3659. Prime factorization of 18295 in exponential form is:

18295 = 51 × 36591

Prime Factorization of 18306

Prime factors of 18306 are 2, 3, 113. Prime factorization of 18306 in exponential form is:

18306 = 21 × 34 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 18295 and 18306.

LCM(18295,18306) = 51 × 36591 × 21 × 34 × 1131
LCM(18295,18306) = 334908270