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What is the Least Common Multiple of 7062 and 7080?

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 7062 and 7080 is 8333160.

LCM(7062,7080) = 8333160

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Least Common Multiple of 7062 and 7080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7062 and 7080, than apply into the LCM equation.

GCF(7062,7080) = 6
LCM(7062,7080) = ( 7062 × 7080) / 6
LCM(7062,7080) = 49998960 / 6
LCM(7062,7080) = 8333160

Least Common Multiple (LCM) of 7062 and 7080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7062 and 7080. First we will calculate the prime factors of 7062 and 7080.

Prime Factorization of 7062

Prime factors of 7062 are 2, 3, 11, 107. Prime factorization of 7062 in exponential form is:

7062 = 21 × 31 × 111 × 1071

Prime Factorization of 7080

Prime factors of 7080 are 2, 3, 5, 59. Prime factorization of 7080 in exponential form is:

7080 = 23 × 31 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 7062 and 7080.

LCM(7062,7080) = 23 × 31 × 111 × 1071 × 51 × 591
LCM(7062,7080) = 8333160