What is the Least Common Multiple of 84482 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 84482 and 84502 is 3569448982.
LCM(84482,84502) = 3569448982
Least Common Multiple of 84482 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 84482 and 84502, than apply into the LCM equation.
GCF(84482,84502) = 2
LCM(84482,84502) = ( 84482 × 84502) / 2
LCM(84482,84502) = 7138897964 / 2
LCM(84482,84502) = 3569448982
Least Common Multiple (LCM) of 84482 and 84502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84482 and 84502. First we will calculate the prime factors of 84482 and 84502.
Prime Factorization of 84482
Prime factors of 84482 are 2, 53, 797. Prime factorization of 84482 in exponential form is:
84482 = 21 × 531 × 7971
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 84482 and 84502.
LCM(84482,84502) = 21 × 531 × 7971 × 111 × 231 × 1671
LCM(84482,84502) = 3569448982
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