What is the Least Common Multiple of 66863 and 66868?
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 66863 and 66868 is 4470995084.
LCM(66863,66868) = 4470995084
Least Common Multiple of 66863 and 66868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66863 and 66868, than apply into the LCM equation.
GCF(66863,66868) = 1
LCM(66863,66868) = ( 66863 × 66868) / 1
LCM(66863,66868) = 4470995084 / 1
LCM(66863,66868) = 4470995084
Least Common Multiple (LCM) of 66863 and 66868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66863 and 66868. First we will calculate the prime factors of 66863 and 66868.
Prime Factorization of 66863
Prime factors of 66863 are 66863. Prime factorization of 66863 in exponential form is:
66863 = 668631
Prime Factorization of 66868
Prime factors of 66868 are 2, 73, 229. Prime factorization of 66868 in exponential form is:
66868 = 22 × 731 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 66863 and 66868.
LCM(66863,66868) = 668631 × 22 × 731 × 2291
LCM(66863,66868) = 4470995084
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