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What is the Least Common Multiple of 6154 and 6173?

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 6154 and 6173 is 37988642.

LCM(6154,6173) = 37988642

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Least Common Multiple of 6154 and 6173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6154 and 6173, than apply into the LCM equation.

GCF(6154,6173) = 1
LCM(6154,6173) = ( 6154 × 6173) / 1
LCM(6154,6173) = 37988642 / 1
LCM(6154,6173) = 37988642

Least Common Multiple (LCM) of 6154 and 6173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6154 and 6173. First we will calculate the prime factors of 6154 and 6173.

Prime Factorization of 6154

Prime factors of 6154 are 2, 17, 181. Prime factorization of 6154 in exponential form is:

6154 = 21 × 171 × 1811

Prime Factorization of 6173

Prime factors of 6173 are 6173. Prime factorization of 6173 in exponential form is:

6173 = 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 6154 and 6173.

LCM(6154,6173) = 21 × 171 × 1811 × 61731
LCM(6154,6173) = 37988642