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What is the Least Common Multiple of 44164 and 44182?

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 44164 and 44182 is 975626924.

LCM(44164,44182) = 975626924

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Least Common Multiple of 44164 and 44182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44164 and 44182, than apply into the LCM equation.

GCF(44164,44182) = 2
LCM(44164,44182) = ( 44164 × 44182) / 2
LCM(44164,44182) = 1951253848 / 2
LCM(44164,44182) = 975626924

Least Common Multiple (LCM) of 44164 and 44182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44164 and 44182. First we will calculate the prime factors of 44164 and 44182.

Prime Factorization of 44164

Prime factors of 44164 are 2, 61, 181. Prime factorization of 44164 in exponential form is:

44164 = 22 × 611 × 1811

Prime Factorization of 44182

Prime factors of 44182 are 2, 22091. Prime factorization of 44182 in exponential form is:

44182 = 21 × 220911

Now multiplying the highest exponent prime factors to calculate the LCM of 44164 and 44182.

LCM(44164,44182) = 22 × 611 × 1811 × 220911
LCM(44164,44182) = 975626924