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What is the Least Common Multiple of 44162 and 44166?

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 44162 and 44166 is 975229446.

LCM(44162,44166) = 975229446

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Least Common Multiple of 44162 and 44166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44162 and 44166, than apply into the LCM equation.

GCF(44162,44166) = 2
LCM(44162,44166) = ( 44162 × 44166) / 2
LCM(44162,44166) = 1950458892 / 2
LCM(44162,44166) = 975229446

Least Common Multiple (LCM) of 44162 and 44166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44162 and 44166. First we will calculate the prime factors of 44162 and 44166.

Prime Factorization of 44162

Prime factors of 44162 are 2, 71, 311. Prime factorization of 44162 in exponential form is:

44162 = 21 × 711 × 3111

Prime Factorization of 44166

Prime factors of 44166 are 2, 3, 17, 433. Prime factorization of 44166 in exponential form is:

44166 = 21 × 31 × 171 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 44162 and 44166.

LCM(44162,44166) = 21 × 711 × 3111 × 31 × 171 × 4331
LCM(44162,44166) = 975229446