What is the Least Common Multiple of 66614 and 66618?
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 66614 and 66618 is 2218845726.
LCM(66614,66618) = 2218845726
Least Common Multiple of 66614 and 66618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66614 and 66618, than apply into the LCM equation.
GCF(66614,66618) = 2
LCM(66614,66618) = ( 66614 × 66618) / 2
LCM(66614,66618) = 4437691452 / 2
LCM(66614,66618) = 2218845726
Least Common Multiple (LCM) of 66614 and 66618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66614 and 66618. First we will calculate the prime factors of 66614 and 66618.
Prime Factorization of 66614
Prime factors of 66614 are 2, 19, 1753. Prime factorization of 66614 in exponential form is:
66614 = 21 × 191 × 17531
Prime Factorization of 66618
Prime factors of 66618 are 2, 3, 3701. Prime factorization of 66618 in exponential form is:
66618 = 21 × 32 × 37011
Now multiplying the highest exponent prime factors to calculate the LCM of 66614 and 66618.
LCM(66614,66618) = 21 × 191 × 17531 × 32 × 37011
LCM(66614,66618) = 2218845726
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