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What is the Least Common Multiple of 40787 and 40797?

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 40787 and 40797 is 1663987239.

LCM(40787,40797) = 1663987239

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Least Common Multiple of 40787 and 40797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40787 and 40797, than apply into the LCM equation.

GCF(40787,40797) = 1
LCM(40787,40797) = ( 40787 × 40797) / 1
LCM(40787,40797) = 1663987239 / 1
LCM(40787,40797) = 1663987239

Least Common Multiple (LCM) of 40787 and 40797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40787 and 40797. First we will calculate the prime factors of 40787 and 40797.

Prime Factorization of 40787

Prime factors of 40787 are 40787. Prime factorization of 40787 in exponential form is:

40787 = 407871

Prime Factorization of 40797

Prime factors of 40797 are 3, 1511. Prime factorization of 40797 in exponential form is:

40797 = 33 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 40787 and 40797.

LCM(40787,40797) = 407871 × 33 × 15111
LCM(40787,40797) = 1663987239