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What is the Least Common Multiple of 40862 and 40877?

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 40862 and 40877 is 1670315974.

LCM(40862,40877) = 1670315974

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Least Common Multiple of 40862 and 40877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40862 and 40877, than apply into the LCM equation.

GCF(40862,40877) = 1
LCM(40862,40877) = ( 40862 × 40877) / 1
LCM(40862,40877) = 1670315974 / 1
LCM(40862,40877) = 1670315974

Least Common Multiple (LCM) of 40862 and 40877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40862 and 40877. First we will calculate the prime factors of 40862 and 40877.

Prime Factorization of 40862

Prime factors of 40862 are 2, 20431. Prime factorization of 40862 in exponential form is:

40862 = 21 × 204311

Prime Factorization of 40877

Prime factors of 40877 are 41, 997. Prime factorization of 40877 in exponential form is:

40877 = 411 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 40862 and 40877.

LCM(40862,40877) = 21 × 204311 × 411 × 9971
LCM(40862,40877) = 1670315974