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What is the Least Common Multiple of 50455 and 50462?

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 50455 and 50462 is 2546060210.

LCM(50455,50462) = 2546060210

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Least Common Multiple of 50455 and 50462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50455 and 50462, than apply into the LCM equation.

GCF(50455,50462) = 1
LCM(50455,50462) = ( 50455 × 50462) / 1
LCM(50455,50462) = 2546060210 / 1
LCM(50455,50462) = 2546060210

Least Common Multiple (LCM) of 50455 and 50462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50455 and 50462. First we will calculate the prime factors of 50455 and 50462.

Prime Factorization of 50455

Prime factors of 50455 are 5, 10091. Prime factorization of 50455 in exponential form is:

50455 = 51 × 100911

Prime Factorization of 50462

Prime factors of 50462 are 2, 23, 1097. Prime factorization of 50462 in exponential form is:

50462 = 21 × 231 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 50455 and 50462.

LCM(50455,50462) = 51 × 100911 × 21 × 231 × 10971
LCM(50455,50462) = 2546060210