What is the Least Common Multiple of 84803 and 84807?
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 84803 and 84807 is 7191888021.
LCM(84803,84807) = 7191888021
Least Common Multiple of 84803 and 84807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84803 and 84807, than apply into the LCM equation.
GCF(84803,84807) = 1
LCM(84803,84807) = ( 84803 × 84807) / 1
LCM(84803,84807) = 7191888021 / 1
LCM(84803,84807) = 7191888021
Least Common Multiple (LCM) of 84803 and 84807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84803 and 84807. First we will calculate the prime factors of 84803 and 84807.
Prime Factorization of 84803
Prime factors of 84803 are 137, 619. Prime factorization of 84803 in exponential form is:
84803 = 1371 × 6191
Prime Factorization of 84807
Prime factors of 84807 are 3, 349. Prime factorization of 84807 in exponential form is:
84807 = 35 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 84803 and 84807.
LCM(84803,84807) = 1371 × 6191 × 35 × 3491
LCM(84803,84807) = 7191888021
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