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What is the Least Common Multiple of 50743 and 50753?

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 50743 and 50753 is 2575359479.

LCM(50743,50753) = 2575359479

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Least Common Multiple of 50743 and 50753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50743 and 50753, than apply into the LCM equation.

GCF(50743,50753) = 1
LCM(50743,50753) = ( 50743 × 50753) / 1
LCM(50743,50753) = 2575359479 / 1
LCM(50743,50753) = 2575359479

Least Common Multiple (LCM) of 50743 and 50753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50743 and 50753. First we will calculate the prime factors of 50743 and 50753.

Prime Factorization of 50743

Prime factors of 50743 are 7, 11, 659. Prime factorization of 50743 in exponential form is:

50743 = 71 × 111 × 6591

Prime Factorization of 50753

Prime factors of 50753 are 50753. Prime factorization of 50753 in exponential form is:

50753 = 507531

Now multiplying the highest exponent prime factors to calculate the LCM of 50743 and 50753.

LCM(50743,50753) = 71 × 111 × 6591 × 507531
LCM(50743,50753) = 2575359479