What is the Least Common Multiple of 61566 and 61582?
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 61566 and 61582 is 1895678706.
LCM(61566,61582) = 1895678706
Least Common Multiple of 61566 and 61582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61566 and 61582, than apply into the LCM equation.
GCF(61566,61582) = 2
LCM(61566,61582) = ( 61566 × 61582) / 2
LCM(61566,61582) = 3791357412 / 2
LCM(61566,61582) = 1895678706
Least Common Multiple (LCM) of 61566 and 61582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61566 and 61582. First we will calculate the prime factors of 61566 and 61582.
Prime Factorization of 61566
Prime factors of 61566 are 2, 3, 31, 331. Prime factorization of 61566 in exponential form is:
61566 = 21 × 31 × 311 × 3311
Prime Factorization of 61582
Prime factors of 61582 are 2, 41, 751. Prime factorization of 61582 in exponential form is:
61582 = 21 × 411 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 61566 and 61582.
LCM(61566,61582) = 21 × 31 × 311 × 3311 × 411 × 7511
LCM(61566,61582) = 1895678706
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