What is the Least Common Multiple of 61486 and 61490?
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 61486 and 61490 is 1890387070.
LCM(61486,61490) = 1890387070
Least Common Multiple of 61486 and 61490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61486 and 61490, than apply into the LCM equation.
GCF(61486,61490) = 2
LCM(61486,61490) = ( 61486 × 61490) / 2
LCM(61486,61490) = 3780774140 / 2
LCM(61486,61490) = 1890387070
Least Common Multiple (LCM) of 61486 and 61490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61486 and 61490. First we will calculate the prime factors of 61486 and 61490.
Prime Factorization of 61486
Prime factors of 61486 are 2, 71, 433. Prime factorization of 61486 in exponential form is:
61486 = 21 × 711 × 4331
Prime Factorization of 61490
Prime factors of 61490 are 2, 5, 11, 13, 43. Prime factorization of 61490 in exponential form is:
61490 = 21 × 51 × 111 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 61486 and 61490.
LCM(61486,61490) = 21 × 711 × 4331 × 51 × 111 × 131 × 431
LCM(61486,61490) = 1890387070
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