What is the Least Common Multiple of 81486 and 81499?
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 81486 and 81499 is 6641027514.
LCM(81486,81499) = 6641027514
Least Common Multiple of 81486 and 81499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81486 and 81499, than apply into the LCM equation.
GCF(81486,81499) = 1
LCM(81486,81499) = ( 81486 × 81499) / 1
LCM(81486,81499) = 6641027514 / 1
LCM(81486,81499) = 6641027514
Least Common Multiple (LCM) of 81486 and 81499 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81486 and 81499. First we will calculate the prime factors of 81486 and 81499.
Prime Factorization of 81486
Prime factors of 81486 are 2, 3, 503. Prime factorization of 81486 in exponential form is:
81486 = 21 × 34 × 5031
Prime Factorization of 81499
Prime factors of 81499 are 11, 31, 239. Prime factorization of 81499 in exponential form is:
81499 = 111 × 311 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 81486 and 81499.
LCM(81486,81499) = 21 × 34 × 5031 × 111 × 311 × 2391
LCM(81486,81499) = 6641027514
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