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What is the Least Common Multiple of 47111 and 47126?

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 47111 and 47126 is 2220152986.

LCM(47111,47126) = 2220152986

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Least Common Multiple of 47111 and 47126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47111 and 47126, than apply into the LCM equation.

GCF(47111,47126) = 1
LCM(47111,47126) = ( 47111 × 47126) / 1
LCM(47111,47126) = 2220152986 / 1
LCM(47111,47126) = 2220152986

Least Common Multiple (LCM) of 47111 and 47126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47111 and 47126. First we will calculate the prime factors of 47111 and 47126.

Prime Factorization of 47111

Prime factors of 47111 are 47111. Prime factorization of 47111 in exponential form is:

47111 = 471111

Prime Factorization of 47126

Prime factors of 47126 are 2, 23563. Prime factorization of 47126 in exponential form is:

47126 = 21 × 235631

Now multiplying the highest exponent prime factors to calculate the LCM of 47111 and 47126.

LCM(47111,47126) = 471111 × 21 × 235631
LCM(47111,47126) = 2220152986