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What is the Least Common Multiple of 45416 and 45422?

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 45416 and 45422 is 1031442776.

LCM(45416,45422) = 1031442776

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Least Common Multiple of 45416 and 45422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45416 and 45422, than apply into the LCM equation.

GCF(45416,45422) = 2
LCM(45416,45422) = ( 45416 × 45422) / 2
LCM(45416,45422) = 2062885552 / 2
LCM(45416,45422) = 1031442776

Least Common Multiple (LCM) of 45416 and 45422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45416 and 45422. First we will calculate the prime factors of 45416 and 45422.

Prime Factorization of 45416

Prime factors of 45416 are 2, 7, 811. Prime factorization of 45416 in exponential form is:

45416 = 23 × 71 × 8111

Prime Factorization of 45422

Prime factors of 45422 are 2, 13, 1747. Prime factorization of 45422 in exponential form is:

45422 = 21 × 131 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 45416 and 45422.

LCM(45416,45422) = 23 × 71 × 8111 × 131 × 17471
LCM(45416,45422) = 1031442776