What is the Least Common Multiple of 66847 and 66858?
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 66847 and 66858 is 406296066.
LCM(66847,66858) = 406296066
Least Common Multiple of 66847 and 66858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66847 and 66858, than apply into the LCM equation.
GCF(66847,66858) = 11
LCM(66847,66858) = ( 66847 × 66858) / 11
LCM(66847,66858) = 4469256726 / 11
LCM(66847,66858) = 406296066
Least Common Multiple (LCM) of 66847 and 66858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66847 and 66858. First we will calculate the prime factors of 66847 and 66858.
Prime Factorization of 66847
Prime factors of 66847 are 11, 59, 103. Prime factorization of 66847 in exponential form is:
66847 = 111 × 591 × 1031
Prime Factorization of 66858
Prime factors of 66858 are 2, 3, 11, 1013. Prime factorization of 66858 in exponential form is:
66858 = 21 × 31 × 111 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 66847 and 66858.
LCM(66847,66858) = 111 × 591 × 1031 × 21 × 31 × 10131
LCM(66847,66858) = 406296066
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