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What is the Least Common Multiple of 66665 and 66680?

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 66665 and 66680 is 889044440.

LCM(66665,66680) = 889044440

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Least Common Multiple of 66665 and 66680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66665 and 66680, than apply into the LCM equation.

GCF(66665,66680) = 5
LCM(66665,66680) = ( 66665 × 66680) / 5
LCM(66665,66680) = 4445222200 / 5
LCM(66665,66680) = 889044440

Least Common Multiple (LCM) of 66665 and 66680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66665 and 66680. First we will calculate the prime factors of 66665 and 66680.

Prime Factorization of 66665

Prime factors of 66665 are 5, 67, 199. Prime factorization of 66665 in exponential form is:

66665 = 51 × 671 × 1991

Prime Factorization of 66680

Prime factors of 66680 are 2, 5, 1667. Prime factorization of 66680 in exponential form is:

66680 = 23 × 51 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 66665 and 66680.

LCM(66665,66680) = 51 × 671 × 1991 × 23 × 16671
LCM(66665,66680) = 889044440