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What is the Least Common Multiple of 41476 and 41490?

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 41476 and 41490 is 860419620.

LCM(41476,41490) = 860419620

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Least Common Multiple of 41476 and 41490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41476 and 41490, than apply into the LCM equation.

GCF(41476,41490) = 2
LCM(41476,41490) = ( 41476 × 41490) / 2
LCM(41476,41490) = 1720839240 / 2
LCM(41476,41490) = 860419620

Least Common Multiple (LCM) of 41476 and 41490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41476 and 41490. First we will calculate the prime factors of 41476 and 41490.

Prime Factorization of 41476

Prime factors of 41476 are 2, 10369. Prime factorization of 41476 in exponential form is:

41476 = 22 × 103691

Prime Factorization of 41490

Prime factors of 41490 are 2, 3, 5, 461. Prime factorization of 41490 in exponential form is:

41490 = 21 × 32 × 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 41476 and 41490.

LCM(41476,41490) = 22 × 103691 × 32 × 51 × 4611
LCM(41476,41490) = 860419620