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What is the Least Common Multiple of 66337 and 66357?

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 66337 and 66357 is 4401924309.

LCM(66337,66357) = 4401924309

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Least Common Multiple of 66337 and 66357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66337 and 66357, than apply into the LCM equation.

GCF(66337,66357) = 1
LCM(66337,66357) = ( 66337 × 66357) / 1
LCM(66337,66357) = 4401924309 / 1
LCM(66337,66357) = 4401924309

Least Common Multiple (LCM) of 66337 and 66357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66337 and 66357. First we will calculate the prime factors of 66337 and 66357.

Prime Factorization of 66337

Prime factors of 66337 are 66337. Prime factorization of 66337 in exponential form is:

66337 = 663371

Prime Factorization of 66357

Prime factors of 66357 are 3, 73, 101. Prime factorization of 66357 in exponential form is:

66357 = 32 × 731 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 66337 and 66357.

LCM(66337,66357) = 663371 × 32 × 731 × 1011
LCM(66337,66357) = 4401924309