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What is the Least Common Multiple of 84362 and 84380?

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 84380 is 3559232780.

LCM(84362,84380) = 3559232780

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Least Common Multiple of 84362 and 84380 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 84380, than apply into the LCM equation.

GCF(84362,84380) = 2
LCM(84362,84380) = ( 84362 × 84380) / 2
LCM(84362,84380) = 7118465560 / 2
LCM(84362,84380) = 3559232780

Least Common Multiple (LCM) of 84362 and 84380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84362 and 84380. First we will calculate the prime factors of 84362 and 84380.

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 84380

Prime factors of 84380 are 2, 5, 4219. Prime factorization of 84380 in exponential form is:

84380 = 22 × 51 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 84362 and 84380.

LCM(84362,84380) = 22 × 421811 × 51 × 42191
LCM(84362,84380) = 3559232780