What is the Least Common Multiple of 84472 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 84472 and 84477 is 7135941144.
LCM(84472,84477) = 7135941144
Least Common Multiple of 84472 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 84472 and 84477, than apply into the LCM equation.
GCF(84472,84477) = 1
LCM(84472,84477) = ( 84472 × 84477) / 1
LCM(84472,84477) = 7135941144 / 1
LCM(84472,84477) = 7135941144
Least Common Multiple (LCM) of 84472 and 84477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84472 and 84477. First we will calculate the prime factors of 84472 and 84477.
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 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 84472 and 84477.
LCM(84472,84477) = 23 × 105591 × 31 × 291 × 9711
LCM(84472,84477) = 7135941144
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