What is the Least Common Multiple of 61558 and 61571?
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 61558 and 61571 is 3790187618.
LCM(61558,61571) = 3790187618
Least Common Multiple of 61558 and 61571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61558 and 61571, than apply into the LCM equation.
GCF(61558,61571) = 1
LCM(61558,61571) = ( 61558 × 61571) / 1
LCM(61558,61571) = 3790187618 / 1
LCM(61558,61571) = 3790187618
Least Common Multiple (LCM) of 61558 and 61571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61558 and 61571. First we will calculate the prime factors of 61558 and 61571.
Prime Factorization of 61558
Prime factors of 61558 are 2, 7, 4397. Prime factorization of 61558 in exponential form is:
61558 = 21 × 71 × 43971
Prime Factorization of 61571
Prime factors of 61571 are 23, 2677. Prime factorization of 61571 in exponential form is:
61571 = 231 × 26771
Now multiplying the highest exponent prime factors to calculate the LCM of 61558 and 61571.
LCM(61558,61571) = 21 × 71 × 43971 × 231 × 26771
LCM(61558,61571) = 3790187618
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