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What is the Least Common Multiple of 66685 and 66702?

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 66685 and 66702 is 4448022870.

LCM(66685,66702) = 4448022870

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Least Common Multiple of 66685 and 66702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66685 and 66702, than apply into the LCM equation.

GCF(66685,66702) = 1
LCM(66685,66702) = ( 66685 × 66702) / 1
LCM(66685,66702) = 4448022870 / 1
LCM(66685,66702) = 4448022870

Least Common Multiple (LCM) of 66685 and 66702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66685 and 66702. First we will calculate the prime factors of 66685 and 66702.

Prime Factorization of 66685

Prime factors of 66685 are 5, 13337. Prime factorization of 66685 in exponential form is:

66685 = 51 × 133371

Prime Factorization of 66702

Prime factors of 66702 are 2, 3, 11117. Prime factorization of 66702 in exponential form is:

66702 = 21 × 31 × 111171

Now multiplying the highest exponent prime factors to calculate the LCM of 66685 and 66702.

LCM(66685,66702) = 51 × 133371 × 21 × 31 × 111171
LCM(66685,66702) = 4448022870