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What is the Least Common Multiple of 89047 and 89062?

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 89047 and 89062 is 7930703914.

LCM(89047,89062) = 7930703914

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Least Common Multiple of 89047 and 89062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89047 and 89062, than apply into the LCM equation.

GCF(89047,89062) = 1
LCM(89047,89062) = ( 89047 × 89062) / 1
LCM(89047,89062) = 7930703914 / 1
LCM(89047,89062) = 7930703914

Least Common Multiple (LCM) of 89047 and 89062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89047 and 89062. First we will calculate the prime factors of 89047 and 89062.

Prime Factorization of 89047

Prime factors of 89047 are 7, 12721. Prime factorization of 89047 in exponential form is:

89047 = 71 × 127211

Prime Factorization of 89062

Prime factors of 89062 are 2, 44531. Prime factorization of 89062 in exponential form is:

89062 = 21 × 445311

Now multiplying the highest exponent prime factors to calculate the LCM of 89047 and 89062.

LCM(89047,89062) = 71 × 127211 × 21 × 445311
LCM(89047,89062) = 7930703914