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What is the Least Common Multiple of 50918 and 50926?

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 50918 and 50926 is 1296525034.

LCM(50918,50926) = 1296525034

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Least Common Multiple of 50918 and 50926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50918 and 50926, than apply into the LCM equation.

GCF(50918,50926) = 2
LCM(50918,50926) = ( 50918 × 50926) / 2
LCM(50918,50926) = 2593050068 / 2
LCM(50918,50926) = 1296525034

Least Common Multiple (LCM) of 50918 and 50926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50918 and 50926. First we will calculate the prime factors of 50918 and 50926.

Prime Factorization of 50918

Prime factors of 50918 are 2, 7, 3637. Prime factorization of 50918 in exponential form is:

50918 = 21 × 71 × 36371

Prime Factorization of 50926

Prime factors of 50926 are 2, 25463. Prime factorization of 50926 in exponential form is:

50926 = 21 × 254631

Now multiplying the highest exponent prime factors to calculate the LCM of 50918 and 50926.

LCM(50918,50926) = 21 × 71 × 36371 × 254631
LCM(50918,50926) = 1296525034