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What is the Least Common Multiple of 40390 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 40390 and 40402 is 815918390.

LCM(40390,40402) = 815918390

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Least Common Multiple of 40390 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 40390 and 40402, than apply into the LCM equation.

GCF(40390,40402) = 2
LCM(40390,40402) = ( 40390 × 40402) / 2
LCM(40390,40402) = 1631836780 / 2
LCM(40390,40402) = 815918390

Least Common Multiple (LCM) of 40390 and 40402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40390 and 40402. First we will calculate the prime factors of 40390 and 40402.

Prime Factorization of 40390

Prime factors of 40390 are 2, 5, 7, 577. Prime factorization of 40390 in exponential form is:

40390 = 21 × 51 × 71 × 5771

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 40390 and 40402.

LCM(40390,40402) = 21 × 51 × 71 × 5771 × 202011
LCM(40390,40402) = 815918390