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What is the Least Common Multiple of 66060 and 66076?

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 66060 and 66076 is 1091245140.

LCM(66060,66076) = 1091245140

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Least Common Multiple of 66060 and 66076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66060 and 66076, than apply into the LCM equation.

GCF(66060,66076) = 4
LCM(66060,66076) = ( 66060 × 66076) / 4
LCM(66060,66076) = 4364980560 / 4
LCM(66060,66076) = 1091245140

Least Common Multiple (LCM) of 66060 and 66076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66060 and 66076. First we will calculate the prime factors of 66060 and 66076.

Prime Factorization of 66060

Prime factors of 66060 are 2, 3, 5, 367. Prime factorization of 66060 in exponential form is:

66060 = 22 × 32 × 51 × 3671

Prime Factorization of 66076

Prime factors of 66076 are 2, 16519. Prime factorization of 66076 in exponential form is:

66076 = 22 × 165191

Now multiplying the highest exponent prime factors to calculate the LCM of 66060 and 66076.

LCM(66060,66076) = 22 × 32 × 51 × 3671 × 165191
LCM(66060,66076) = 1091245140