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What is the Least Common Multiple of 42299 and 42315?

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 42299 and 42315 is 1789882185.

LCM(42299,42315) = 1789882185

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Least Common Multiple of 42299 and 42315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42299 and 42315, than apply into the LCM equation.

GCF(42299,42315) = 1
LCM(42299,42315) = ( 42299 × 42315) / 1
LCM(42299,42315) = 1789882185 / 1
LCM(42299,42315) = 1789882185

Least Common Multiple (LCM) of 42299 and 42315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42299 and 42315. First we will calculate the prime factors of 42299 and 42315.

Prime Factorization of 42299

Prime factors of 42299 are 42299. Prime factorization of 42299 in exponential form is:

42299 = 422991

Prime Factorization of 42315

Prime factors of 42315 are 3, 5, 7, 13, 31. Prime factorization of 42315 in exponential form is:

42315 = 31 × 51 × 71 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 42299 and 42315.

LCM(42299,42315) = 422991 × 31 × 51 × 71 × 131 × 311
LCM(42299,42315) = 1789882185