What is the Least Common Multiple of 61060 and 61073?
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 61060 and 61073 is 3729117380.
LCM(61060,61073) = 3729117380
Least Common Multiple of 61060 and 61073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61060 and 61073, than apply into the LCM equation.
GCF(61060,61073) = 1
LCM(61060,61073) = ( 61060 × 61073) / 1
LCM(61060,61073) = 3729117380 / 1
LCM(61060,61073) = 3729117380
Least Common Multiple (LCM) of 61060 and 61073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61060 and 61073. First we will calculate the prime factors of 61060 and 61073.
Prime Factorization of 61060
Prime factors of 61060 are 2, 5, 43, 71. Prime factorization of 61060 in exponential form is:
61060 = 22 × 51 × 431 × 711
Prime Factorization of 61073
Prime factors of 61073 are 157, 389. Prime factorization of 61073 in exponential form is:
61073 = 1571 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 61060 and 61073.
LCM(61060,61073) = 22 × 51 × 431 × 711 × 1571 × 3891
LCM(61060,61073) = 3729117380
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