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What is the Least Common Multiple of 26660 and 26670?

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 26660 and 26670 is 71102220.

LCM(26660,26670) = 71102220

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Least Common Multiple of 26660 and 26670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26660 and 26670, than apply into the LCM equation.

GCF(26660,26670) = 10
LCM(26660,26670) = ( 26660 × 26670) / 10
LCM(26660,26670) = 711022200 / 10
LCM(26660,26670) = 71102220

Least Common Multiple (LCM) of 26660 and 26670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26660 and 26670. First we will calculate the prime factors of 26660 and 26670.

Prime Factorization of 26660

Prime factors of 26660 are 2, 5, 31, 43. Prime factorization of 26660 in exponential form is:

26660 = 22 × 51 × 311 × 431

Prime Factorization of 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 21 × 31 × 51 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 26660 and 26670.

LCM(26660,26670) = 22 × 51 × 311 × 431 × 31 × 71 × 1271
LCM(26660,26670) = 71102220