What is the Least Common Multiple of 84472 and 84485?
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 84472 and 84485 is 7136616920.
LCM(84472,84485) = 7136616920
Least Common Multiple of 84472 and 84485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84472 and 84485, than apply into the LCM equation.
GCF(84472,84485) = 1
LCM(84472,84485) = ( 84472 × 84485) / 1
LCM(84472,84485) = 7136616920 / 1
LCM(84472,84485) = 7136616920
Least Common Multiple (LCM) of 84472 and 84485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84472 and 84485. First we will calculate the prime factors of 84472 and 84485.
Prime Factorization of 84472
Prime factors of 84472 are 2, 10559. Prime factorization of 84472 in exponential form is:
84472 = 23 × 105591
Prime Factorization of 84485
Prime factors of 84485 are 5, 61, 277. Prime factorization of 84485 in exponential form is:
84485 = 51 × 611 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 84472 and 84485.
LCM(84472,84485) = 23 × 105591 × 51 × 611 × 2771
LCM(84472,84485) = 7136616920
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