What is the Least Common Multiple of 34781 and 34785?
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 34781 and 34785 is 1209857085.
LCM(34781,34785) = 1209857085
Least Common Multiple of 34781 and 34785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34781 and 34785, than apply into the LCM equation.
GCF(34781,34785) = 1
LCM(34781,34785) = ( 34781 × 34785) / 1
LCM(34781,34785) = 1209857085 / 1
LCM(34781,34785) = 1209857085
Least Common Multiple (LCM) of 34781 and 34785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34781 and 34785. First we will calculate the prime factors of 34781 and 34785.
Prime Factorization of 34781
Prime factors of 34781 are 34781. Prime factorization of 34781 in exponential form is:
34781 = 347811
Prime Factorization of 34785
Prime factors of 34785 are 3, 5, 773. Prime factorization of 34785 in exponential form is:
34785 = 32 × 51 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 34781 and 34785.
LCM(34781,34785) = 347811 × 32 × 51 × 7731
LCM(34781,34785) = 1209857085
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