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What is the Least Common Multiple of 50747 and 50762?

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 50747 and 50762 is 2576019214.

LCM(50747,50762) = 2576019214

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Least Common Multiple of 50747 and 50762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50747 and 50762, than apply into the LCM equation.

GCF(50747,50762) = 1
LCM(50747,50762) = ( 50747 × 50762) / 1
LCM(50747,50762) = 2576019214 / 1
LCM(50747,50762) = 2576019214

Least Common Multiple (LCM) of 50747 and 50762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50747 and 50762. First we will calculate the prime factors of 50747 and 50762.

Prime Factorization of 50747

Prime factors of 50747 are 31, 1637. Prime factorization of 50747 in exponential form is:

50747 = 311 × 16371

Prime Factorization of 50762

Prime factors of 50762 are 2, 17, 1493. Prime factorization of 50762 in exponential form is:

50762 = 21 × 171 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 50747 and 50762.

LCM(50747,50762) = 311 × 16371 × 21 × 171 × 14931
LCM(50747,50762) = 2576019214