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What is the Least Common Multiple of 84851 and 84857?

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 84851 and 84857 is 7200201307.

LCM(84851,84857) = 7200201307

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Least Common Multiple of 84851 and 84857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84851 and 84857, than apply into the LCM equation.

GCF(84851,84857) = 1
LCM(84851,84857) = ( 84851 × 84857) / 1
LCM(84851,84857) = 7200201307 / 1
LCM(84851,84857) = 7200201307

Least Common Multiple (LCM) of 84851 and 84857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84851 and 84857. First we will calculate the prime factors of 84851 and 84857.

Prime Factorization of 84851

Prime factors of 84851 are 13, 61, 107. Prime factorization of 84851 in exponential form is:

84851 = 131 × 611 × 1071

Prime Factorization of 84857

Prime factors of 84857 are 84857. Prime factorization of 84857 in exponential form is:

84857 = 848571

Now multiplying the highest exponent prime factors to calculate the LCM of 84851 and 84857.

LCM(84851,84857) = 131 × 611 × 1071 × 848571
LCM(84851,84857) = 7200201307