What is the Least Common Multiple of 62481 and 62490?
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 62481 and 62490 is 1301479230.
LCM(62481,62490) = 1301479230
Least Common Multiple of 62481 and 62490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62481 and 62490, than apply into the LCM equation.
GCF(62481,62490) = 3
LCM(62481,62490) = ( 62481 × 62490) / 3
LCM(62481,62490) = 3904437690 / 3
LCM(62481,62490) = 1301479230
Least Common Multiple (LCM) of 62481 and 62490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62481 and 62490. First we will calculate the prime factors of 62481 and 62490.
Prime Factorization of 62481
Prime factors of 62481 are 3, 59, 353. Prime factorization of 62481 in exponential form is:
62481 = 31 × 591 × 3531
Prime Factorization of 62490
Prime factors of 62490 are 2, 3, 5, 2083. Prime factorization of 62490 in exponential form is:
62490 = 21 × 31 × 51 × 20831
Now multiplying the highest exponent prime factors to calculate the LCM of 62481 and 62490.
LCM(62481,62490) = 31 × 591 × 3531 × 21 × 51 × 20831
LCM(62481,62490) = 1301479230
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