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What is the Least Common Multiple of 4065 and 4076?

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 4065 and 4076 is 16568940.

LCM(4065,4076) = 16568940

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Least Common Multiple of 4065 and 4076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4065 and 4076, than apply into the LCM equation.

GCF(4065,4076) = 1
LCM(4065,4076) = ( 4065 × 4076) / 1
LCM(4065,4076) = 16568940 / 1
LCM(4065,4076) = 16568940

Least Common Multiple (LCM) of 4065 and 4076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4076. First we will calculate the prime factors of 4065 and 4076.

Prime Factorization of 4065

Prime factors of 4065 are 3, 5, 271. Prime factorization of 4065 in exponential form is:

4065 = 31 × 51 × 2711

Prime Factorization of 4076

Prime factors of 4076 are 2, 1019. Prime factorization of 4076 in exponential form is:

4076 = 22 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4076.

LCM(4065,4076) = 31 × 51 × 2711 × 22 × 10191
LCM(4065,4076) = 16568940