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What is the Least Common Multiple of 84790 and 84807?

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 84790 and 84807 is 7190785530.

LCM(84790,84807) = 7190785530

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Least Common Multiple of 84790 and 84807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84790 and 84807, than apply into the LCM equation.

GCF(84790,84807) = 1
LCM(84790,84807) = ( 84790 × 84807) / 1
LCM(84790,84807) = 7190785530 / 1
LCM(84790,84807) = 7190785530

Least Common Multiple (LCM) of 84790 and 84807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84790 and 84807. First we will calculate the prime factors of 84790 and 84807.

Prime Factorization of 84790

Prime factors of 84790 are 2, 5, 61, 139. Prime factorization of 84790 in exponential form is:

84790 = 21 × 51 × 611 × 1391

Prime Factorization of 84807

Prime factors of 84807 are 3, 349. Prime factorization of 84807 in exponential form is:

84807 = 35 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 84790 and 84807.

LCM(84790,84807) = 21 × 51 × 611 × 1391 × 35 × 3491
LCM(84790,84807) = 7190785530