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What is the Least Common Multiple of 6150 and 6162?

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 6150 and 6162 is 6316050.

LCM(6150,6162) = 6316050

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Least Common Multiple of 6150 and 6162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6150 and 6162, than apply into the LCM equation.

GCF(6150,6162) = 6
LCM(6150,6162) = ( 6150 × 6162) / 6
LCM(6150,6162) = 37896300 / 6
LCM(6150,6162) = 6316050

Least Common Multiple (LCM) of 6150 and 6162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6150 and 6162. First we will calculate the prime factors of 6150 and 6162.

Prime Factorization of 6150

Prime factors of 6150 are 2, 3, 5, 41. Prime factorization of 6150 in exponential form is:

6150 = 21 × 31 × 52 × 411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6150 and 6162.

LCM(6150,6162) = 21 × 31 × 52 × 411 × 131 × 791
LCM(6150,6162) = 6316050