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What is the Least Common Multiple of 84470 and 84477?

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 84470 and 84477 is 7135772190.

LCM(84470,84477) = 7135772190

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Least Common Multiple of 84470 and 84477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84470 and 84477, than apply into the LCM equation.

GCF(84470,84477) = 1
LCM(84470,84477) = ( 84470 × 84477) / 1
LCM(84470,84477) = 7135772190 / 1
LCM(84470,84477) = 7135772190

Least Common Multiple (LCM) of 84470 and 84477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84470 and 84477. First we will calculate the prime factors of 84470 and 84477.

Prime Factorization of 84470

Prime factors of 84470 are 2, 5, 8447. Prime factorization of 84470 in exponential form is:

84470 = 21 × 51 × 84471

Prime Factorization of 84477

Prime factors of 84477 are 3, 29, 971. Prime factorization of 84477 in exponential form is:

84477 = 31 × 291 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 84470 and 84477.

LCM(84470,84477) = 21 × 51 × 84471 × 31 × 291 × 9711
LCM(84470,84477) = 7135772190