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What is the Least Common Multiple of 84836 and 84851?

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 84836 and 84851 is 7198419436.

LCM(84836,84851) = 7198419436

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Least Common Multiple of 84836 and 84851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84836 and 84851, than apply into the LCM equation.

GCF(84836,84851) = 1
LCM(84836,84851) = ( 84836 × 84851) / 1
LCM(84836,84851) = 7198419436 / 1
LCM(84836,84851) = 7198419436

Least Common Multiple (LCM) of 84836 and 84851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84836 and 84851. First we will calculate the prime factors of 84836 and 84851.

Prime Factorization of 84836

Prime factors of 84836 are 2, 127, 167. Prime factorization of 84836 in exponential form is:

84836 = 22 × 1271 × 1671

Prime Factorization of 84851

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

84851 = 131 × 611 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 84836 and 84851.

LCM(84836,84851) = 22 × 1271 × 1671 × 131 × 611 × 1071
LCM(84836,84851) = 7198419436