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What is the Least Common Multiple of 787 and 807?

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 787 and 807 is 635109.

LCM(787,807) = 635109

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Least Common Multiple of 787 and 807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 787 and 807, than apply into the LCM equation.

GCF(787,807) = 1
LCM(787,807) = ( 787 × 807) / 1
LCM(787,807) = 635109 / 1
LCM(787,807) = 635109

Least Common Multiple (LCM) of 787 and 807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 807. First we will calculate the prime factors of 787 and 807.

Prime Factorization of 787

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

Prime Factorization of 807

Prime factors of 807 are 3, 269. Prime factorization of 807 in exponential form is:

807 = 31 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 807.

LCM(787,807) = 7871 × 31 × 2691
LCM(787,807) = 635109