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What is the Least Common Multiple of 40397 and 40402?

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 40397 and 40402 is 1632119594.

LCM(40397,40402) = 1632119594

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Least Common Multiple of 40397 and 40402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40397 and 40402, than apply into the LCM equation.

GCF(40397,40402) = 1
LCM(40397,40402) = ( 40397 × 40402) / 1
LCM(40397,40402) = 1632119594 / 1
LCM(40397,40402) = 1632119594

Least Common Multiple (LCM) of 40397 and 40402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40397 and 40402. First we will calculate the prime factors of 40397 and 40402.

Prime Factorization of 40397

Prime factors of 40397 are 7, 29, 199. Prime factorization of 40397 in exponential form is:

40397 = 71 × 291 × 1991

Prime Factorization of 40402

Prime factors of 40402 are 2, 20201. Prime factorization of 40402 in exponential form is:

40402 = 21 × 202011

Now multiplying the highest exponent prime factors to calculate the LCM of 40397 and 40402.

LCM(40397,40402) = 71 × 291 × 1991 × 21 × 202011
LCM(40397,40402) = 1632119594