What is the Least Common Multiple of 62317 and 62330?
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 62317 and 62330 is 3884218610.
LCM(62317,62330) = 3884218610
Least Common Multiple of 62317 and 62330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62317 and 62330, than apply into the LCM equation.
GCF(62317,62330) = 1
LCM(62317,62330) = ( 62317 × 62330) / 1
LCM(62317,62330) = 3884218610 / 1
LCM(62317,62330) = 3884218610
Least Common Multiple (LCM) of 62317 and 62330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62317 and 62330. First we will calculate the prime factors of 62317 and 62330.
Prime Factorization of 62317
Prime factors of 62317 are 101, 617. Prime factorization of 62317 in exponential form is:
62317 = 1011 × 6171
Prime Factorization of 62330
Prime factors of 62330 are 2, 5, 23, 271. Prime factorization of 62330 in exponential form is:
62330 = 21 × 51 × 231 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 62317 and 62330.
LCM(62317,62330) = 1011 × 6171 × 21 × 51 × 231 × 2711
LCM(62317,62330) = 3884218610
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