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What is the Least Common Multiple of 84362 and 84370?

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 84362 and 84370 is 3558810970.

LCM(84362,84370) = 3558810970

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Least Common Multiple of 84362 and 84370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84362 and 84370, than apply into the LCM equation.

GCF(84362,84370) = 2
LCM(84362,84370) = ( 84362 × 84370) / 2
LCM(84362,84370) = 7117621940 / 2
LCM(84362,84370) = 3558810970

Least Common Multiple (LCM) of 84362 and 84370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84362 and 84370. First we will calculate the prime factors of 84362 and 84370.

Prime Factorization of 84362

Prime factors of 84362 are 2, 42181. Prime factorization of 84362 in exponential form is:

84362 = 21 × 421811

Prime Factorization of 84370

Prime factors of 84370 are 2, 5, 11, 13, 59. Prime factorization of 84370 in exponential form is:

84370 = 21 × 51 × 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 84362 and 84370.

LCM(84362,84370) = 21 × 421811 × 51 × 111 × 131 × 591
LCM(84362,84370) = 3558810970