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What is the Least Common Multiple of 43046 and 43063?

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 43046 and 43063 is 1853689898.

LCM(43046,43063) = 1853689898

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Least Common Multiple of 43046 and 43063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43046 and 43063, than apply into the LCM equation.

GCF(43046,43063) = 1
LCM(43046,43063) = ( 43046 × 43063) / 1
LCM(43046,43063) = 1853689898 / 1
LCM(43046,43063) = 1853689898

Least Common Multiple (LCM) of 43046 and 43063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43046 and 43063. First we will calculate the prime factors of 43046 and 43063.

Prime Factorization of 43046

Prime factors of 43046 are 2, 21523. Prime factorization of 43046 in exponential form is:

43046 = 21 × 215231

Prime Factorization of 43063

Prime factors of 43063 are 43063. Prime factorization of 43063 in exponential form is:

43063 = 430631

Now multiplying the highest exponent prime factors to calculate the LCM of 43046 and 43063.

LCM(43046,43063) = 21 × 215231 × 430631
LCM(43046,43063) = 1853689898