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What is the Least Common Multiple of 55673 and 55678?

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 55673 and 55678 is 3099761294.

LCM(55673,55678) = 3099761294

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Least Common Multiple of 55673 and 55678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55673 and 55678, than apply into the LCM equation.

GCF(55673,55678) = 1
LCM(55673,55678) = ( 55673 × 55678) / 1
LCM(55673,55678) = 3099761294 / 1
LCM(55673,55678) = 3099761294

Least Common Multiple (LCM) of 55673 and 55678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55673 and 55678. First we will calculate the prime factors of 55673 and 55678.

Prime Factorization of 55673

Prime factors of 55673 are 55673. Prime factorization of 55673 in exponential form is:

55673 = 556731

Prime Factorization of 55678

Prime factors of 55678 are 2, 7, 41, 97. Prime factorization of 55678 in exponential form is:

55678 = 21 × 71 × 411 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 55673 and 55678.

LCM(55673,55678) = 556731 × 21 × 71 × 411 × 971
LCM(55673,55678) = 3099761294