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What is the Least Common Multiple of 56643 and 56649?

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 56643 and 56649 is 1069589769.

LCM(56643,56649) = 1069589769

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Least Common Multiple of 56643 and 56649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56643 and 56649, than apply into the LCM equation.

GCF(56643,56649) = 3
LCM(56643,56649) = ( 56643 × 56649) / 3
LCM(56643,56649) = 3208769307 / 3
LCM(56643,56649) = 1069589769

Least Common Multiple (LCM) of 56643 and 56649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56643 and 56649. First we will calculate the prime factors of 56643 and 56649.

Prime Factorization of 56643

Prime factors of 56643 are 3, 79, 239. Prime factorization of 56643 in exponential form is:

56643 = 31 × 791 × 2391

Prime Factorization of 56649

Prime factors of 56649 are 3, 23, 821. Prime factorization of 56649 in exponential form is:

56649 = 31 × 231 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 56643 and 56649.

LCM(56643,56649) = 31 × 791 × 2391 × 231 × 8211
LCM(56643,56649) = 1069589769