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What is the Least Common Multiple of 4062 and 4072?

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 4062 and 4072 is 8270232.

LCM(4062,4072) = 8270232

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Least Common Multiple of 4062 and 4072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4062 and 4072, than apply into the LCM equation.

GCF(4062,4072) = 2
LCM(4062,4072) = ( 4062 × 4072) / 2
LCM(4062,4072) = 16540464 / 2
LCM(4062,4072) = 8270232

Least Common Multiple (LCM) of 4062 and 4072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4062 and 4072. First we will calculate the prime factors of 4062 and 4072.

Prime Factorization of 4062

Prime factors of 4062 are 2, 3, 677. Prime factorization of 4062 in exponential form is:

4062 = 21 × 31 × 6771

Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 23 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 4062 and 4072.

LCM(4062,4072) = 23 × 31 × 6771 × 5091
LCM(4062,4072) = 8270232