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What is the Least Common Multiple of 41666 and 41670?

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 41666 and 41670 is 868111110.

LCM(41666,41670) = 868111110

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Least Common Multiple of 41666 and 41670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41666 and 41670, than apply into the LCM equation.

GCF(41666,41670) = 2
LCM(41666,41670) = ( 41666 × 41670) / 2
LCM(41666,41670) = 1736222220 / 2
LCM(41666,41670) = 868111110

Least Common Multiple (LCM) of 41666 and 41670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41666 and 41670. First we will calculate the prime factors of 41666 and 41670.

Prime Factorization of 41666

Prime factors of 41666 are 2, 83, 251. Prime factorization of 41666 in exponential form is:

41666 = 21 × 831 × 2511

Prime Factorization of 41670

Prime factors of 41670 are 2, 3, 5, 463. Prime factorization of 41670 in exponential form is:

41670 = 21 × 32 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 41666 and 41670.

LCM(41666,41670) = 21 × 831 × 2511 × 32 × 51 × 4631
LCM(41666,41670) = 868111110