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What is the Least Common Multiple of 78628 and 78637?

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 78628 and 78637 is 6183070036.

LCM(78628,78637) = 6183070036

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Least Common Multiple of 78628 and 78637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78628 and 78637, than apply into the LCM equation.

GCF(78628,78637) = 1
LCM(78628,78637) = ( 78628 × 78637) / 1
LCM(78628,78637) = 6183070036 / 1
LCM(78628,78637) = 6183070036

Least Common Multiple (LCM) of 78628 and 78637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78628 and 78637. First we will calculate the prime factors of 78628 and 78637.

Prime Factorization of 78628

Prime factors of 78628 are 2, 11, 1787. Prime factorization of 78628 in exponential form is:

78628 = 22 × 111 × 17871

Prime Factorization of 78637

Prime factors of 78637 are 13, 23, 263. Prime factorization of 78637 in exponential form is:

78637 = 131 × 231 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 78628 and 78637.

LCM(78628,78637) = 22 × 111 × 17871 × 131 × 231 × 2631
LCM(78628,78637) = 6183070036