What is the Least Common Multiple of 66612 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 66612 and 66618 is 739593036.
LCM(66612,66618) = 739593036
Least Common Multiple of 66612 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 66612 and 66618, than apply into the LCM equation.
GCF(66612,66618) = 6
LCM(66612,66618) = ( 66612 × 66618) / 6
LCM(66612,66618) = 4437558216 / 6
LCM(66612,66618) = 739593036
Least Common Multiple (LCM) of 66612 and 66618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66612 and 66618. First we will calculate the prime factors of 66612 and 66618.
Prime Factorization of 66612
Prime factors of 66612 are 2, 3, 7, 13, 61. Prime factorization of 66612 in exponential form is:
66612 = 22 × 31 × 71 × 131 × 611
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 66612 and 66618.
LCM(66612,66618) = 22 × 32 × 71 × 131 × 611 × 37011
LCM(66612,66618) = 739593036
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