What is the Least Common Multiple of 56667 and 56685?
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 56667 and 56685 is 1070722965.
LCM(56667,56685) = 1070722965
Least Common Multiple of 56667 and 56685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56667 and 56685, than apply into the LCM equation.
GCF(56667,56685) = 3
LCM(56667,56685) = ( 56667 × 56685) / 3
LCM(56667,56685) = 3212168895 / 3
LCM(56667,56685) = 1070722965
Least Common Multiple (LCM) of 56667 and 56685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56667 and 56685. First we will calculate the prime factors of 56667 and 56685.
Prime Factorization of 56667
Prime factors of 56667 are 3, 13, 1453. Prime factorization of 56667 in exponential form is:
56667 = 31 × 131 × 14531
Prime Factorization of 56685
Prime factors of 56685 are 3, 5, 3779. Prime factorization of 56685 in exponential form is:
56685 = 31 × 51 × 37791
Now multiplying the highest exponent prime factors to calculate the LCM of 56667 and 56685.
LCM(56667,56685) = 31 × 131 × 14531 × 51 × 37791
LCM(56667,56685) = 1070722965
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