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What is the Least Common Multiple of 84851 and 84862?

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 84862 is 7200625562.

LCM(84851,84862) = 7200625562

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Least Common Multiple of 84851 and 84862 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 84862, than apply into the LCM equation.

GCF(84851,84862) = 1
LCM(84851,84862) = ( 84851 × 84862) / 1
LCM(84851,84862) = 7200625562 / 1
LCM(84851,84862) = 7200625562

Least Common Multiple (LCM) of 84851 and 84862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84851 and 84862. First we will calculate the prime factors of 84851 and 84862.

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 84862

Prime factors of 84862 are 2, 151, 281. Prime factorization of 84862 in exponential form is:

84862 = 21 × 1511 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 84851 and 84862.

LCM(84851,84862) = 131 × 611 × 1071 × 21 × 1511 × 2811
LCM(84851,84862) = 7200625562