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What is the Least Common Multiple of 50746 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 50746 and 50762 is 1287984226.

LCM(50746,50762) = 1287984226

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Least Common Multiple of 50746 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 50746 and 50762, than apply into the LCM equation.

GCF(50746,50762) = 2
LCM(50746,50762) = ( 50746 × 50762) / 2
LCM(50746,50762) = 2575968452 / 2
LCM(50746,50762) = 1287984226

Least Common Multiple (LCM) of 50746 and 50762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50746 and 50762. First we will calculate the prime factors of 50746 and 50762.

Prime Factorization of 50746

Prime factors of 50746 are 2, 25373. Prime factorization of 50746 in exponential form is:

50746 = 21 × 253731

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 50746 and 50762.

LCM(50746,50762) = 21 × 253731 × 171 × 14931
LCM(50746,50762) = 1287984226