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What is the Least Common Multiple of 66602 and 66606?

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 66602 and 66606 is 2218046406.

LCM(66602,66606) = 2218046406

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Least Common Multiple of 66602 and 66606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66602 and 66606, than apply into the LCM equation.

GCF(66602,66606) = 2
LCM(66602,66606) = ( 66602 × 66606) / 2
LCM(66602,66606) = 4436092812 / 2
LCM(66602,66606) = 2218046406

Least Common Multiple (LCM) of 66602 and 66606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66602 and 66606. First we will calculate the prime factors of 66602 and 66606.

Prime Factorization of 66602

Prime factors of 66602 are 2, 33301. Prime factorization of 66602 in exponential form is:

66602 = 21 × 333011

Prime Factorization of 66606

Prime factors of 66606 are 2, 3, 17, 653. Prime factorization of 66606 in exponential form is:

66606 = 21 × 31 × 171 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 66602 and 66606.

LCM(66602,66606) = 21 × 333011 × 31 × 171 × 6531
LCM(66602,66606) = 2218046406