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What is the Least Common Multiple of 47654 and 47673?

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 47654 and 47673 is 2271809142.

LCM(47654,47673) = 2271809142

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Least Common Multiple of 47654 and 47673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47654 and 47673, than apply into the LCM equation.

GCF(47654,47673) = 1
LCM(47654,47673) = ( 47654 × 47673) / 1
LCM(47654,47673) = 2271809142 / 1
LCM(47654,47673) = 2271809142

Least Common Multiple (LCM) of 47654 and 47673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47654 and 47673. First we will calculate the prime factors of 47654 and 47673.

Prime Factorization of 47654

Prime factors of 47654 are 2, 23827. Prime factorization of 47654 in exponential form is:

47654 = 21 × 238271

Prime Factorization of 47673

Prime factors of 47673 are 3, 5297. Prime factorization of 47673 in exponential form is:

47673 = 32 × 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 47654 and 47673.

LCM(47654,47673) = 21 × 238271 × 32 × 52971
LCM(47654,47673) = 2271809142