What is the Least Common Multiple of 62485 and 62489?
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 62485 and 62489 is 3904625165.
LCM(62485,62489) = 3904625165
Least Common Multiple of 62485 and 62489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62485 and 62489, than apply into the LCM equation.
GCF(62485,62489) = 1
LCM(62485,62489) = ( 62485 × 62489) / 1
LCM(62485,62489) = 3904625165 / 1
LCM(62485,62489) = 3904625165
Least Common Multiple (LCM) of 62485 and 62489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62485 and 62489. First we will calculate the prime factors of 62485 and 62489.
Prime Factorization of 62485
Prime factors of 62485 are 5, 12497. Prime factorization of 62485 in exponential form is:
62485 = 51 × 124971
Prime Factorization of 62489
Prime factors of 62489 are 7, 79, 113. Prime factorization of 62489 in exponential form is:
62489 = 71 × 791 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 62485 and 62489.
LCM(62485,62489) = 51 × 124971 × 71 × 791 × 1131
LCM(62485,62489) = 3904625165
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