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What is the Least Common Multiple of 6162 and 6175?

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 6162 and 6175 is 2926950.

LCM(6162,6175) = 2926950

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Least Common Multiple of 6162 and 6175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6162 and 6175, than apply into the LCM equation.

GCF(6162,6175) = 13
LCM(6162,6175) = ( 6162 × 6175) / 13
LCM(6162,6175) = 38050350 / 13
LCM(6162,6175) = 2926950

Least Common Multiple (LCM) of 6162 and 6175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6162 and 6175. First we will calculate the prime factors of 6162 and 6175.

Prime Factorization of 6162

Prime factors of 6162 are 2, 3, 13, 79. Prime factorization of 6162 in exponential form is:

6162 = 21 × 31 × 131 × 791

Prime Factorization of 6175

Prime factors of 6175 are 5, 13, 19. Prime factorization of 6175 in exponential form is:

6175 = 52 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6162 and 6175.

LCM(6162,6175) = 21 × 31 × 131 × 791 × 52 × 191
LCM(6162,6175) = 2926950