What is the Least Common Multiple of 62613 and 62618?
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 62613 and 62618 is 3920700834.
LCM(62613,62618) = 3920700834
Least Common Multiple of 62613 and 62618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62613 and 62618, than apply into the LCM equation.
GCF(62613,62618) = 1
LCM(62613,62618) = ( 62613 × 62618) / 1
LCM(62613,62618) = 3920700834 / 1
LCM(62613,62618) = 3920700834
Least Common Multiple (LCM) of 62613 and 62618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62613 and 62618. First we will calculate the prime factors of 62613 and 62618.
Prime Factorization of 62613
Prime factors of 62613 are 3, 773. Prime factorization of 62613 in exponential form is:
62613 = 34 × 7731
Prime Factorization of 62618
Prime factors of 62618 are 2, 131, 239. Prime factorization of 62618 in exponential form is:
62618 = 21 × 1311 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 62613 and 62618.
LCM(62613,62618) = 34 × 7731 × 21 × 1311 × 2391
LCM(62613,62618) = 3920700834
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