What is the Least Common Multiple of 55609 and 55618?
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 55609 and 55618 is 3092861362.
LCM(55609,55618) = 3092861362
Least Common Multiple of 55609 and 55618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55609 and 55618, than apply into the LCM equation.
GCF(55609,55618) = 1
LCM(55609,55618) = ( 55609 × 55618) / 1
LCM(55609,55618) = 3092861362 / 1
LCM(55609,55618) = 3092861362
Least Common Multiple (LCM) of 55609 and 55618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55609 and 55618. First we will calculate the prime factors of 55609 and 55618.
Prime Factorization of 55609
Prime factors of 55609 are 55609. Prime factorization of 55609 in exponential form is:
55609 = 556091
Prime Factorization of 55618
Prime factors of 55618 are 2, 27809. Prime factorization of 55618 in exponential form is:
55618 = 21 × 278091
Now multiplying the highest exponent prime factors to calculate the LCM of 55609 and 55618.
LCM(55609,55618) = 556091 × 21 × 278091
LCM(55609,55618) = 3092861362
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