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What is the Least Common Multiple of 22476 and 22487?

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 22476 and 22487 is 505417812.

LCM(22476,22487) = 505417812

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Least Common Multiple of 22476 and 22487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22476 and 22487, than apply into the LCM equation.

GCF(22476,22487) = 1
LCM(22476,22487) = ( 22476 × 22487) / 1
LCM(22476,22487) = 505417812 / 1
LCM(22476,22487) = 505417812

Least Common Multiple (LCM) of 22476 and 22487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22476 and 22487. First we will calculate the prime factors of 22476 and 22487.

Prime Factorization of 22476

Prime factors of 22476 are 2, 3, 1873. Prime factorization of 22476 in exponential form is:

22476 = 22 × 31 × 18731

Prime Factorization of 22487

Prime factors of 22487 are 113, 199. Prime factorization of 22487 in exponential form is:

22487 = 1131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 22476 and 22487.

LCM(22476,22487) = 22 × 31 × 18731 × 1131 × 1991
LCM(22476,22487) = 505417812