What is the Least Common Multiple of 66867 and 66883?
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 66867 and 66883 is 4472265561.
LCM(66867,66883) = 4472265561
Least Common Multiple of 66867 and 66883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66867 and 66883, than apply into the LCM equation.
GCF(66867,66883) = 1
LCM(66867,66883) = ( 66867 × 66883) / 1
LCM(66867,66883) = 4472265561 / 1
LCM(66867,66883) = 4472265561
Least Common Multiple (LCM) of 66867 and 66883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66867 and 66883. First we will calculate the prime factors of 66867 and 66883.
Prime Factorization of 66867
Prime factors of 66867 are 3, 31, 719. Prime factorization of 66867 in exponential form is:
66867 = 31 × 311 × 7191
Prime Factorization of 66883
Prime factors of 66883 are 66883. Prime factorization of 66883 in exponential form is:
66883 = 668831
Now multiplying the highest exponent prime factors to calculate the LCM of 66867 and 66883.
LCM(66867,66883) = 31 × 311 × 7191 × 668831
LCM(66867,66883) = 4472265561
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