What is the Least Common Multiple of 50603 and 50618?
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 50603 and 50618 is 2561422654.
LCM(50603,50618) = 2561422654
Least Common Multiple of 50603 and 50618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50603 and 50618, than apply into the LCM equation.
GCF(50603,50618) = 1
LCM(50603,50618) = ( 50603 × 50618) / 1
LCM(50603,50618) = 2561422654 / 1
LCM(50603,50618) = 2561422654
Least Common Multiple (LCM) of 50603 and 50618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50603 and 50618. First we will calculate the prime factors of 50603 and 50618.
Prime Factorization of 50603
Prime factors of 50603 are 7, 7229. Prime factorization of 50603 in exponential form is:
50603 = 71 × 72291
Prime Factorization of 50618
Prime factors of 50618 are 2, 25309. Prime factorization of 50618 in exponential form is:
50618 = 21 × 253091
Now multiplying the highest exponent prime factors to calculate the LCM of 50603 and 50618.
LCM(50603,50618) = 71 × 72291 × 21 × 253091
LCM(50603,50618) = 2561422654
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