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What is the Least Common Multiple of 66040 and 66059?

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 66040 and 66059 is 4362536360.

LCM(66040,66059) = 4362536360

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Least Common Multiple of 66040 and 66059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66040 and 66059, than apply into the LCM equation.

GCF(66040,66059) = 1
LCM(66040,66059) = ( 66040 × 66059) / 1
LCM(66040,66059) = 4362536360 / 1
LCM(66040,66059) = 4362536360

Least Common Multiple (LCM) of 66040 and 66059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66040 and 66059. First we will calculate the prime factors of 66040 and 66059.

Prime Factorization of 66040

Prime factors of 66040 are 2, 5, 13, 127. Prime factorization of 66040 in exponential form is:

66040 = 23 × 51 × 131 × 1271

Prime Factorization of 66059

Prime factors of 66059 are 7, 9437. Prime factorization of 66059 in exponential form is:

66059 = 71 × 94371

Now multiplying the highest exponent prime factors to calculate the LCM of 66040 and 66059.

LCM(66040,66059) = 23 × 51 × 131 × 1271 × 71 × 94371
LCM(66040,66059) = 4362536360