What is the Least Common Multiple of 62599 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 62599 and 62618 is 3919824182.
LCM(62599,62618) = 3919824182
Least Common Multiple of 62599 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 62599 and 62618, than apply into the LCM equation.
GCF(62599,62618) = 1
LCM(62599,62618) = ( 62599 × 62618) / 1
LCM(62599,62618) = 3919824182 / 1
LCM(62599,62618) = 3919824182
Least Common Multiple (LCM) of 62599 and 62618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62599 and 62618. First we will calculate the prime factors of 62599 and 62618.
Prime Factorization of 62599
Prime factors of 62599 are 59, 1061. Prime factorization of 62599 in exponential form is:
62599 = 591 × 10611
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 62599 and 62618.
LCM(62599,62618) = 591 × 10611 × 21 × 1311 × 2391
LCM(62599,62618) = 3919824182
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