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What is the Least Common Multiple of 66373 and 66388?

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 66373 and 66388 is 4406370724.

LCM(66373,66388) = 4406370724

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Least Common Multiple of 66373 and 66388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66373 and 66388, than apply into the LCM equation.

GCF(66373,66388) = 1
LCM(66373,66388) = ( 66373 × 66388) / 1
LCM(66373,66388) = 4406370724 / 1
LCM(66373,66388) = 4406370724

Least Common Multiple (LCM) of 66373 and 66388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66373 and 66388. First we will calculate the prime factors of 66373 and 66388.

Prime Factorization of 66373

Prime factors of 66373 are 66373. Prime factorization of 66373 in exponential form is:

66373 = 663731

Prime Factorization of 66388

Prime factors of 66388 are 2, 7, 2371. Prime factorization of 66388 in exponential form is:

66388 = 22 × 71 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 66373 and 66388.

LCM(66373,66388) = 663731 × 22 × 71 × 23711
LCM(66373,66388) = 4406370724