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What is the Least Common Multiple of 48161 and 48166?

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 48161 and 48166 is 2319722726.

LCM(48161,48166) = 2319722726

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Least Common Multiple of 48161 and 48166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48161 and 48166, than apply into the LCM equation.

GCF(48161,48166) = 1
LCM(48161,48166) = ( 48161 × 48166) / 1
LCM(48161,48166) = 2319722726 / 1
LCM(48161,48166) = 2319722726

Least Common Multiple (LCM) of 48161 and 48166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48161 and 48166. First we will calculate the prime factors of 48161 and 48166.

Prime Factorization of 48161

Prime factors of 48161 are 17, 2833. Prime factorization of 48161 in exponential form is:

48161 = 171 × 28331

Prime Factorization of 48166

Prime factors of 48166 are 2, 24083. Prime factorization of 48166 in exponential form is:

48166 = 21 × 240831

Now multiplying the highest exponent prime factors to calculate the LCM of 48161 and 48166.

LCM(48161,48166) = 171 × 28331 × 21 × 240831
LCM(48161,48166) = 2319722726