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What is the Least Common Multiple of 41722 and 41742?

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 41722 and 41742 is 870779862.

LCM(41722,41742) = 870779862

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Least Common Multiple of 41722 and 41742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41722 and 41742, than apply into the LCM equation.

GCF(41722,41742) = 2
LCM(41722,41742) = ( 41722 × 41742) / 2
LCM(41722,41742) = 1741559724 / 2
LCM(41722,41742) = 870779862

Least Common Multiple (LCM) of 41722 and 41742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41722 and 41742. First we will calculate the prime factors of 41722 and 41742.

Prime Factorization of 41722

Prime factors of 41722 are 2, 23, 907. Prime factorization of 41722 in exponential form is:

41722 = 21 × 231 × 9071

Prime Factorization of 41742

Prime factors of 41742 are 2, 3, 773. Prime factorization of 41742 in exponential form is:

41742 = 21 × 33 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 41722 and 41742.

LCM(41722,41742) = 21 × 231 × 9071 × 33 × 7731
LCM(41722,41742) = 870779862