What is the Least Common Multiple of 55597 and 55610?
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 55597 and 55610 is 3091749170.
LCM(55597,55610) = 3091749170
Least Common Multiple of 55597 and 55610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55597 and 55610, than apply into the LCM equation.
GCF(55597,55610) = 1
LCM(55597,55610) = ( 55597 × 55610) / 1
LCM(55597,55610) = 3091749170 / 1
LCM(55597,55610) = 3091749170
Least Common Multiple (LCM) of 55597 and 55610 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55597 and 55610. First we will calculate the prime factors of 55597 and 55610.
Prime Factorization of 55597
Prime factors of 55597 are 53, 1049. Prime factorization of 55597 in exponential form is:
55597 = 531 × 10491
Prime Factorization of 55610
Prime factors of 55610 are 2, 5, 67, 83. Prime factorization of 55610 in exponential form is:
55610 = 21 × 51 × 671 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 55597 and 55610.
LCM(55597,55610) = 531 × 10491 × 21 × 51 × 671 × 831
LCM(55597,55610) = 3091749170
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