What is the Least Common Multiple of 61073 and 61078?
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 61073 and 61078 is 3730216694.
LCM(61073,61078) = 3730216694
Least Common Multiple of 61073 and 61078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61073 and 61078, than apply into the LCM equation.
GCF(61073,61078) = 1
LCM(61073,61078) = ( 61073 × 61078) / 1
LCM(61073,61078) = 3730216694 / 1
LCM(61073,61078) = 3730216694
Least Common Multiple (LCM) of 61073 and 61078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61073 and 61078. First we will calculate the prime factors of 61073 and 61078.
Prime Factorization of 61073
Prime factors of 61073 are 157, 389. Prime factorization of 61073 in exponential form is:
61073 = 1571 × 3891
Prime Factorization of 61078
Prime factors of 61078 are 2, 30539. Prime factorization of 61078 in exponential form is:
61078 = 21 × 305391
Now multiplying the highest exponent prime factors to calculate the LCM of 61073 and 61078.
LCM(61073,61078) = 1571 × 3891 × 21 × 305391
LCM(61073,61078) = 3730216694
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