What is the Least Common Multiple of 84520 and 84533?
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 84520 and 84533 is 7144729160.
LCM(84520,84533) = 7144729160
Least Common Multiple of 84520 and 84533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84520 and 84533, than apply into the LCM equation.
GCF(84520,84533) = 1
LCM(84520,84533) = ( 84520 × 84533) / 1
LCM(84520,84533) = 7144729160 / 1
LCM(84520,84533) = 7144729160
Least Common Multiple (LCM) of 84520 and 84533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84520 and 84533. First we will calculate the prime factors of 84520 and 84533.
Prime Factorization of 84520
Prime factors of 84520 are 2, 5, 2113. Prime factorization of 84520 in exponential form is:
84520 = 23 × 51 × 21131
Prime Factorization of 84533
Prime factors of 84533 are 84533. Prime factorization of 84533 in exponential form is:
84533 = 845331
Now multiplying the highest exponent prime factors to calculate the LCM of 84520 and 84533.
LCM(84520,84533) = 23 × 51 × 21131 × 845331
LCM(84520,84533) = 7144729160
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