What is the Least Common Multiple of 66231 and 66239?
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 66231 and 66239 is 4387075209.
LCM(66231,66239) = 4387075209
Least Common Multiple of 66231 and 66239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66231 and 66239, than apply into the LCM equation.
GCF(66231,66239) = 1
LCM(66231,66239) = ( 66231 × 66239) / 1
LCM(66231,66239) = 4387075209 / 1
LCM(66231,66239) = 4387075209
Least Common Multiple (LCM) of 66231 and 66239 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66231 and 66239. First we will calculate the prime factors of 66231 and 66239.
Prime Factorization of 66231
Prime factors of 66231 are 3, 11, 223. Prime factorization of 66231 in exponential form is:
66231 = 33 × 111 × 2231
Prime Factorization of 66239
Prime factors of 66239 are 66239. Prime factorization of 66239 in exponential form is:
66239 = 662391
Now multiplying the highest exponent prime factors to calculate the LCM of 66231 and 66239.
LCM(66231,66239) = 33 × 111 × 2231 × 662391
LCM(66231,66239) = 4387075209
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