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What is the Least Common Multiple of 44178 and 44183?

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 44178 and 44183 is 1951916574.

LCM(44178,44183) = 1951916574

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Least Common Multiple of 44178 and 44183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44178 and 44183, than apply into the LCM equation.

GCF(44178,44183) = 1
LCM(44178,44183) = ( 44178 × 44183) / 1
LCM(44178,44183) = 1951916574 / 1
LCM(44178,44183) = 1951916574

Least Common Multiple (LCM) of 44178 and 44183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44178 and 44183. First we will calculate the prime factors of 44178 and 44183.

Prime Factorization of 44178

Prime factors of 44178 are 2, 3, 37, 199. Prime factorization of 44178 in exponential form is:

44178 = 21 × 31 × 371 × 1991

Prime Factorization of 44183

Prime factors of 44183 are 17, 23, 113. Prime factorization of 44183 in exponential form is:

44183 = 171 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 44178 and 44183.

LCM(44178,44183) = 21 × 31 × 371 × 1991 × 171 × 231 × 1131
LCM(44178,44183) = 1951916574