What is the Least Common Multiple of 62602 and 62613?
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 62602 and 62613 is 3919699026.
LCM(62602,62613) = 3919699026
Least Common Multiple of 62602 and 62613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62602 and 62613, than apply into the LCM equation.
GCF(62602,62613) = 1
LCM(62602,62613) = ( 62602 × 62613) / 1
LCM(62602,62613) = 3919699026 / 1
LCM(62602,62613) = 3919699026
Least Common Multiple (LCM) of 62602 and 62613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62602 and 62613. First we will calculate the prime factors of 62602 and 62613.
Prime Factorization of 62602
Prime factors of 62602 are 2, 113, 277. Prime factorization of 62602 in exponential form is:
62602 = 21 × 1131 × 2771
Prime Factorization of 62613
Prime factors of 62613 are 3, 773. Prime factorization of 62613 in exponential form is:
62613 = 34 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 62602 and 62613.
LCM(62602,62613) = 21 × 1131 × 2771 × 34 × 7731
LCM(62602,62613) = 3919699026
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