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What is the Least Common Multiple of 6160 and 6167?

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 6160 and 6167 is 5426960.

LCM(6160,6167) = 5426960

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Least Common Multiple of 6160 and 6167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6160 and 6167, than apply into the LCM equation.

GCF(6160,6167) = 7
LCM(6160,6167) = ( 6160 × 6167) / 7
LCM(6160,6167) = 37988720 / 7
LCM(6160,6167) = 5426960

Least Common Multiple (LCM) of 6160 and 6167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6160 and 6167. First we will calculate the prime factors of 6160 and 6167.

Prime Factorization of 6160

Prime factors of 6160 are 2, 5, 7, 11. Prime factorization of 6160 in exponential form is:

6160 = 24 × 51 × 71 × 111

Prime Factorization of 6167

Prime factors of 6167 are 7, 881. Prime factorization of 6167 in exponential form is:

6167 = 71 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 6160 and 6167.

LCM(6160,6167) = 24 × 51 × 71 × 111 × 8811
LCM(6160,6167) = 5426960