GCF and LCM Calculator Logo

What is the Least Common Multiple of 40295 and 40314?

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 40295 and 40314 is 1624452630.

LCM(40295,40314) = 1624452630

LCM Calculator and
and

Least Common Multiple of 40295 and 40314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40295 and 40314, than apply into the LCM equation.

GCF(40295,40314) = 1
LCM(40295,40314) = ( 40295 × 40314) / 1
LCM(40295,40314) = 1624452630 / 1
LCM(40295,40314) = 1624452630

Least Common Multiple (LCM) of 40295 and 40314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40295 and 40314. First we will calculate the prime factors of 40295 and 40314.

Prime Factorization of 40295

Prime factors of 40295 are 5, 8059. Prime factorization of 40295 in exponential form is:

40295 = 51 × 80591

Prime Factorization of 40314

Prime factors of 40314 are 2, 3, 6719. Prime factorization of 40314 in exponential form is:

40314 = 21 × 31 × 67191

Now multiplying the highest exponent prime factors to calculate the LCM of 40295 and 40314.

LCM(40295,40314) = 51 × 80591 × 21 × 31 × 67191
LCM(40295,40314) = 1624452630