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What is the Least Common Multiple of 38166 and 38178?

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 38166 and 38178 is 242850258.

LCM(38166,38178) = 242850258

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Least Common Multiple of 38166 and 38178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38166 and 38178, than apply into the LCM equation.

GCF(38166,38178) = 6
LCM(38166,38178) = ( 38166 × 38178) / 6
LCM(38166,38178) = 1457101548 / 6
LCM(38166,38178) = 242850258

Least Common Multiple (LCM) of 38166 and 38178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38166 and 38178. First we will calculate the prime factors of 38166 and 38178.

Prime Factorization of 38166

Prime factors of 38166 are 2, 3, 6361. Prime factorization of 38166 in exponential form is:

38166 = 21 × 31 × 63611

Prime Factorization of 38178

Prime factors of 38178 are 2, 3, 7, 101. Prime factorization of 38178 in exponential form is:

38178 = 21 × 33 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 38166 and 38178.

LCM(38166,38178) = 21 × 33 × 63611 × 71 × 1011
LCM(38166,38178) = 242850258