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What is the Least Common Multiple of 41722 and 41726?

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 41726 is 870446086.

LCM(41722,41726) = 870446086

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Least Common Multiple of 41722 and 41726 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 41726, than apply into the LCM equation.

GCF(41722,41726) = 2
LCM(41722,41726) = ( 41722 × 41726) / 2
LCM(41722,41726) = 1740892172 / 2
LCM(41722,41726) = 870446086

Least Common Multiple (LCM) of 41722 and 41726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41722 and 41726. First we will calculate the prime factors of 41722 and 41726.

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 41726

Prime factors of 41726 are 2, 31, 673. Prime factorization of 41726 in exponential form is:

41726 = 21 × 311 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 41722 and 41726.

LCM(41722,41726) = 21 × 231 × 9071 × 311 × 6731
LCM(41722,41726) = 870446086