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What is the Least Common Multiple of 4054 and 4065?

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 4054 and 4065 is 16479510.

LCM(4054,4065) = 16479510

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Least Common Multiple of 4054 and 4065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4054 and 4065, than apply into the LCM equation.

GCF(4054,4065) = 1
LCM(4054,4065) = ( 4054 × 4065) / 1
LCM(4054,4065) = 16479510 / 1
LCM(4054,4065) = 16479510

Least Common Multiple (LCM) of 4054 and 4065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4065. First we will calculate the prime factors of 4054 and 4065.

Prime Factorization of 4054

Prime factors of 4054 are 2, 2027. Prime factorization of 4054 in exponential form is:

4054 = 21 × 20271

Prime Factorization of 4065

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

4065 = 31 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4065.

LCM(4054,4065) = 21 × 20271 × 31 × 51 × 2711
LCM(4054,4065) = 16479510