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What is the Least Common Multiple of 50721 and 50726?

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 50721 and 50726 is 2572873446.

LCM(50721,50726) = 2572873446

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Least Common Multiple of 50721 and 50726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50721 and 50726, than apply into the LCM equation.

GCF(50721,50726) = 1
LCM(50721,50726) = ( 50721 × 50726) / 1
LCM(50721,50726) = 2572873446 / 1
LCM(50721,50726) = 2572873446

Least Common Multiple (LCM) of 50721 and 50726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50721 and 50726. First we will calculate the prime factors of 50721 and 50726.

Prime Factorization of 50721

Prime factors of 50721 are 3, 11, 29, 53. Prime factorization of 50721 in exponential form is:

50721 = 31 × 111 × 291 × 531

Prime Factorization of 50726

Prime factors of 50726 are 2, 13, 1951. Prime factorization of 50726 in exponential form is:

50726 = 21 × 131 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 50721 and 50726.

LCM(50721,50726) = 31 × 111 × 291 × 531 × 21 × 131 × 19511
LCM(50721,50726) = 2572873446