What is the Least Common Multiple of 66877 and 66887?
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 66877 and 66887 is 4473201899.
LCM(66877,66887) = 4473201899
Least Common Multiple of 66877 and 66887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66877 and 66887, than apply into the LCM equation.
GCF(66877,66887) = 1
LCM(66877,66887) = ( 66877 × 66887) / 1
LCM(66877,66887) = 4473201899 / 1
LCM(66877,66887) = 4473201899
Least Common Multiple (LCM) of 66877 and 66887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66877 and 66887. First we will calculate the prime factors of 66877 and 66887.
Prime Factorization of 66877
Prime factors of 66877 are 66877. Prime factorization of 66877 in exponential form is:
66877 = 668771
Prime Factorization of 66887
Prime factors of 66887 are 211, 317. Prime factorization of 66887 in exponential form is:
66887 = 2111 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 66877 and 66887.
LCM(66877,66887) = 668771 × 2111 × 3171
LCM(66877,66887) = 4473201899
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