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What is the Least Common Multiple of 66703 and 66715?

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 66703 and 66715 is 4450090645.

LCM(66703,66715) = 4450090645

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Least Common Multiple of 66703 and 66715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66703 and 66715, than apply into the LCM equation.

GCF(66703,66715) = 1
LCM(66703,66715) = ( 66703 × 66715) / 1
LCM(66703,66715) = 4450090645 / 1
LCM(66703,66715) = 4450090645

Least Common Multiple (LCM) of 66703 and 66715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66703 and 66715. First we will calculate the prime factors of 66703 and 66715.

Prime Factorization of 66703

Prime factors of 66703 are 7, 13, 733. Prime factorization of 66703 in exponential form is:

66703 = 71 × 131 × 7331

Prime Factorization of 66715

Prime factors of 66715 are 5, 11, 1213. Prime factorization of 66715 in exponential form is:

66715 = 51 × 111 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 66703 and 66715.

LCM(66703,66715) = 71 × 131 × 7331 × 51 × 111 × 12131
LCM(66703,66715) = 4450090645