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What is the Least Common Multiple of 87479 and 87489?

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 87479 and 87489 is 7653450231.

LCM(87479,87489) = 7653450231

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Least Common Multiple of 87479 and 87489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87479 and 87489, than apply into the LCM equation.

GCF(87479,87489) = 1
LCM(87479,87489) = ( 87479 × 87489) / 1
LCM(87479,87489) = 7653450231 / 1
LCM(87479,87489) = 7653450231

Least Common Multiple (LCM) of 87479 and 87489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87479 and 87489. First we will calculate the prime factors of 87479 and 87489.

Prime Factorization of 87479

Prime factors of 87479 are 7, 12497. Prime factorization of 87479 in exponential form is:

87479 = 71 × 124971

Prime Factorization of 87489

Prime factors of 87489 are 3, 9721. Prime factorization of 87489 in exponential form is:

87489 = 32 × 97211

Now multiplying the highest exponent prime factors to calculate the LCM of 87479 and 87489.

LCM(87479,87489) = 71 × 124971 × 32 × 97211
LCM(87479,87489) = 7653450231