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What is the Least Common Multiple of 84485 and 84502?

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 84485 and 84502 is 7139151470.

LCM(84485,84502) = 7139151470

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Least Common Multiple of 84485 and 84502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84485 and 84502, than apply into the LCM equation.

GCF(84485,84502) = 1
LCM(84485,84502) = ( 84485 × 84502) / 1
LCM(84485,84502) = 7139151470 / 1
LCM(84485,84502) = 7139151470

Least Common Multiple (LCM) of 84485 and 84502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84485 and 84502. First we will calculate the prime factors of 84485 and 84502.

Prime Factorization of 84485

Prime factors of 84485 are 5, 61, 277. Prime factorization of 84485 in exponential form is:

84485 = 51 × 611 × 2771

Prime Factorization of 84502

Prime factors of 84502 are 2, 11, 23, 167. Prime factorization of 84502 in exponential form is:

84502 = 21 × 111 × 231 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 84485 and 84502.

LCM(84485,84502) = 51 × 611 × 2771 × 21 × 111 × 231 × 1671
LCM(84485,84502) = 7139151470