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What is the Least Common Multiple of 43111 and 43124?

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 43111 and 43124 is 1859118764.

LCM(43111,43124) = 1859118764

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Least Common Multiple of 43111 and 43124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43111 and 43124, than apply into the LCM equation.

GCF(43111,43124) = 1
LCM(43111,43124) = ( 43111 × 43124) / 1
LCM(43111,43124) = 1859118764 / 1
LCM(43111,43124) = 1859118764

Least Common Multiple (LCM) of 43111 and 43124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43111 and 43124. First we will calculate the prime factors of 43111 and 43124.

Prime Factorization of 43111

Prime factors of 43111 are 19, 2269. Prime factorization of 43111 in exponential form is:

43111 = 191 × 22691

Prime Factorization of 43124

Prime factors of 43124 are 2, 10781. Prime factorization of 43124 in exponential form is:

43124 = 22 × 107811

Now multiplying the highest exponent prime factors to calculate the LCM of 43111 and 43124.

LCM(43111,43124) = 191 × 22691 × 22 × 107811
LCM(43111,43124) = 1859118764