What is the Least Common Multiple of 62582 and 62599?
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 62582 and 62599 is 3917570618.
LCM(62582,62599) = 3917570618
Least Common Multiple of 62582 and 62599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62582 and 62599, than apply into the LCM equation.
GCF(62582,62599) = 1
LCM(62582,62599) = ( 62582 × 62599) / 1
LCM(62582,62599) = 3917570618 / 1
LCM(62582,62599) = 3917570618
Least Common Multiple (LCM) of 62582 and 62599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62582 and 62599. First we will calculate the prime factors of 62582 and 62599.
Prime Factorization of 62582
Prime factors of 62582 are 2, 13, 29, 83. Prime factorization of 62582 in exponential form is:
62582 = 21 × 131 × 291 × 831
Prime Factorization of 62599
Prime factors of 62599 are 59, 1061. Prime factorization of 62599 in exponential form is:
62599 = 591 × 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 62582 and 62599.
LCM(62582,62599) = 21 × 131 × 291 × 831 × 591 × 10611
LCM(62582,62599) = 3917570618
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