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What is the Least Common Multiple of 50731 and 50738?

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 50731 and 50738 is 2573989478.

LCM(50731,50738) = 2573989478

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Least Common Multiple of 50731 and 50738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50731 and 50738, than apply into the LCM equation.

GCF(50731,50738) = 1
LCM(50731,50738) = ( 50731 × 50738) / 1
LCM(50731,50738) = 2573989478 / 1
LCM(50731,50738) = 2573989478

Least Common Multiple (LCM) of 50731 and 50738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50731 and 50738. First we will calculate the prime factors of 50731 and 50738.

Prime Factorization of 50731

Prime factors of 50731 are 97, 523. Prime factorization of 50731 in exponential form is:

50731 = 971 × 5231

Prime Factorization of 50738

Prime factors of 50738 are 2, 23, 1103. Prime factorization of 50738 in exponential form is:

50738 = 21 × 231 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 50731 and 50738.

LCM(50731,50738) = 971 × 5231 × 21 × 231 × 11031
LCM(50731,50738) = 2573989478