What is the Least Common Multiple of 62617 and 62635?
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 62617 and 62635 is 3922015795.
LCM(62617,62635) = 3922015795
Least Common Multiple of 62617 and 62635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62617 and 62635, than apply into the LCM equation.
GCF(62617,62635) = 1
LCM(62617,62635) = ( 62617 × 62635) / 1
LCM(62617,62635) = 3922015795 / 1
LCM(62617,62635) = 3922015795
Least Common Multiple (LCM) of 62617 and 62635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62617 and 62635. First we will calculate the prime factors of 62617 and 62635.
Prime Factorization of 62617
Prime factors of 62617 are 62617. Prime factorization of 62617 in exponential form is:
62617 = 626171
Prime Factorization of 62635
Prime factors of 62635 are 5, 12527. Prime factorization of 62635 in exponential form is:
62635 = 51 × 125271
Now multiplying the highest exponent prime factors to calculate the LCM of 62617 and 62635.
LCM(62617,62635) = 626171 × 51 × 125271
LCM(62617,62635) = 3922015795
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