What is the Least Common Multiple of 34837 and 34850?
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 34837 and 34850 is 1214069450.
LCM(34837,34850) = 1214069450
Least Common Multiple of 34837 and 34850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34837 and 34850, than apply into the LCM equation.
GCF(34837,34850) = 1
LCM(34837,34850) = ( 34837 × 34850) / 1
LCM(34837,34850) = 1214069450 / 1
LCM(34837,34850) = 1214069450
Least Common Multiple (LCM) of 34837 and 34850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34837 and 34850. First we will calculate the prime factors of 34837 and 34850.
Prime Factorization of 34837
Prime factors of 34837 are 11, 3167. Prime factorization of 34837 in exponential form is:
34837 = 111 × 31671
Prime Factorization of 34850
Prime factors of 34850 are 2, 5, 17, 41. Prime factorization of 34850 in exponential form is:
34850 = 21 × 52 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 34837 and 34850.
LCM(34837,34850) = 111 × 31671 × 21 × 52 × 171 × 411
LCM(34837,34850) = 1214069450
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