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What is the Least Common Multiple of 40486 and 40502?

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 40486 and 40502 is 819881986.

LCM(40486,40502) = 819881986

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Least Common Multiple of 40486 and 40502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40486 and 40502, than apply into the LCM equation.

GCF(40486,40502) = 2
LCM(40486,40502) = ( 40486 × 40502) / 2
LCM(40486,40502) = 1639763972 / 2
LCM(40486,40502) = 819881986

Least Common Multiple (LCM) of 40486 and 40502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40486 and 40502. First we will calculate the prime factors of 40486 and 40502.

Prime Factorization of 40486

Prime factors of 40486 are 2, 31, 653. Prime factorization of 40486 in exponential form is:

40486 = 21 × 311 × 6531

Prime Factorization of 40502

Prime factors of 40502 are 2, 7, 11, 263. Prime factorization of 40502 in exponential form is:

40502 = 21 × 71 × 111 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 40486 and 40502.

LCM(40486,40502) = 21 × 311 × 6531 × 71 × 111 × 2631
LCM(40486,40502) = 819881986