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What is the Least Common Multiple of 92837 and 92850?

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 92837 and 92850 is 8619915450.

LCM(92837,92850) = 8619915450

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Least Common Multiple of 92837 and 92850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92837 and 92850, than apply into the LCM equation.

GCF(92837,92850) = 1
LCM(92837,92850) = ( 92837 × 92850) / 1
LCM(92837,92850) = 8619915450 / 1
LCM(92837,92850) = 8619915450

Least Common Multiple (LCM) of 92837 and 92850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92837 and 92850. First we will calculate the prime factors of 92837 and 92850.

Prime Factorization of 92837

Prime factors of 92837 are 17, 43, 127. Prime factorization of 92837 in exponential form is:

92837 = 171 × 431 × 1271

Prime Factorization of 92850

Prime factors of 92850 are 2, 3, 5, 619. Prime factorization of 92850 in exponential form is:

92850 = 21 × 31 × 52 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 92837 and 92850.

LCM(92837,92850) = 171 × 431 × 1271 × 21 × 31 × 52 × 6191
LCM(92837,92850) = 8619915450