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What is the Least Common Multiple of 50247 and 50262?

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 50247 and 50262 is 841838238.

LCM(50247,50262) = 841838238

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Least Common Multiple of 50247 and 50262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50247 and 50262, than apply into the LCM equation.

GCF(50247,50262) = 3
LCM(50247,50262) = ( 50247 × 50262) / 3
LCM(50247,50262) = 2525514714 / 3
LCM(50247,50262) = 841838238

Least Common Multiple (LCM) of 50247 and 50262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50247 and 50262. First we will calculate the prime factors of 50247 and 50262.

Prime Factorization of 50247

Prime factors of 50247 are 3, 1861. Prime factorization of 50247 in exponential form is:

50247 = 33 × 18611

Prime Factorization of 50262

Prime factors of 50262 are 2, 3, 8377. Prime factorization of 50262 in exponential form is:

50262 = 21 × 31 × 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 50247 and 50262.

LCM(50247,50262) = 33 × 18611 × 21 × 83771
LCM(50247,50262) = 841838238