GCF and LCM Calculator Logo

What is the Least Common Multiple of 7395 and 7415?

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 7395 and 7415 is 10966785.

LCM(7395,7415) = 10966785

LCM Calculator and
and

Least Common Multiple of 7395 and 7415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7395 and 7415, than apply into the LCM equation.

GCF(7395,7415) = 5
LCM(7395,7415) = ( 7395 × 7415) / 5
LCM(7395,7415) = 54833925 / 5
LCM(7395,7415) = 10966785

Least Common Multiple (LCM) of 7395 and 7415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7395 and 7415. First we will calculate the prime factors of 7395 and 7415.

Prime Factorization of 7395

Prime factors of 7395 are 3, 5, 17, 29. Prime factorization of 7395 in exponential form is:

7395 = 31 × 51 × 171 × 291

Prime Factorization of 7415

Prime factors of 7415 are 5, 1483. Prime factorization of 7415 in exponential form is:

7415 = 51 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 7395 and 7415.

LCM(7395,7415) = 31 × 51 × 171 × 291 × 14831
LCM(7395,7415) = 10966785