What is the Least Common Multiple of 61486 and 61491?
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 61491 is 3780835626.
LCM(61486,61491) = 3780835626
Least Common Multiple of 61486 and 61491 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 61491, than apply into the LCM equation.
GCF(61486,61491) = 1
LCM(61486,61491) = ( 61486 × 61491) / 1
LCM(61486,61491) = 3780835626 / 1
LCM(61486,61491) = 3780835626
Least Common Multiple (LCM) of 61486 and 61491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61486 and 61491. First we will calculate the prime factors of 61486 and 61491.
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 61491
Prime factors of 61491 are 3, 103, 199. Prime factorization of 61491 in exponential form is:
61491 = 31 × 1031 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 61486 and 61491.
LCM(61486,61491) = 21 × 711 × 4331 × 31 × 1031 × 1991
LCM(61486,61491) = 3780835626
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