What is the Least Common Multiple of 84875 and 84883?
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 84875 and 84883 is 7204444625.
LCM(84875,84883) = 7204444625
Least Common Multiple of 84875 and 84883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84875 and 84883, than apply into the LCM equation.
GCF(84875,84883) = 1
LCM(84875,84883) = ( 84875 × 84883) / 1
LCM(84875,84883) = 7204444625 / 1
LCM(84875,84883) = 7204444625
Least Common Multiple (LCM) of 84875 and 84883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84875 and 84883. First we will calculate the prime factors of 84875 and 84883.
Prime Factorization of 84875
Prime factors of 84875 are 5, 7, 97. Prime factorization of 84875 in exponential form is:
84875 = 53 × 71 × 971
Prime Factorization of 84883
Prime factors of 84883 are 29, 2927. Prime factorization of 84883 in exponential form is:
84883 = 291 × 29271
Now multiplying the highest exponent prime factors to calculate the LCM of 84875 and 84883.
LCM(84875,84883) = 53 × 71 × 971 × 291 × 29271
LCM(84875,84883) = 7204444625
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