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What is the Least Common Multiple of 47416 and 47426?

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 47416 and 47426 is 1124375608.

LCM(47416,47426) = 1124375608

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Least Common Multiple of 47416 and 47426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47416 and 47426, than apply into the LCM equation.

GCF(47416,47426) = 2
LCM(47416,47426) = ( 47416 × 47426) / 2
LCM(47416,47426) = 2248751216 / 2
LCM(47416,47426) = 1124375608

Least Common Multiple (LCM) of 47416 and 47426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47416 and 47426. First we will calculate the prime factors of 47416 and 47426.

Prime Factorization of 47416

Prime factors of 47416 are 2, 5927. Prime factorization of 47416 in exponential form is:

47416 = 23 × 59271

Prime Factorization of 47426

Prime factors of 47426 are 2, 23, 1031. Prime factorization of 47426 in exponential form is:

47426 = 21 × 231 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 47416 and 47426.

LCM(47416,47426) = 23 × 59271 × 231 × 10311
LCM(47416,47426) = 1124375608