What is the Least Common Multiple of 66888 and 66897?
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 66888 and 66897 is 497178504.
LCM(66888,66897) = 497178504
Least Common Multiple of 66888 and 66897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66888 and 66897, than apply into the LCM equation.
GCF(66888,66897) = 9
LCM(66888,66897) = ( 66888 × 66897) / 9
LCM(66888,66897) = 4474606536 / 9
LCM(66888,66897) = 497178504
Least Common Multiple (LCM) of 66888 and 66897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66888 and 66897. First we will calculate the prime factors of 66888 and 66897.
Prime Factorization of 66888
Prime factors of 66888 are 2, 3, 929. Prime factorization of 66888 in exponential form is:
66888 = 23 × 32 × 9291
Prime Factorization of 66897
Prime factors of 66897 are 3, 7433. Prime factorization of 66897 in exponential form is:
66897 = 32 × 74331
Now multiplying the highest exponent prime factors to calculate the LCM of 66888 and 66897.
LCM(66888,66897) = 23 × 32 × 9291 × 74331
LCM(66888,66897) = 497178504
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