What is the Least Common Multiple of 841 and 858?
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 841 and 858 is 721578.
LCM(841,858) = 721578
Least Common Multiple of 841 and 858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 841 and 858, than apply into the LCM equation.
GCF(841,858) = 1
LCM(841,858) = ( 841 × 858) / 1
LCM(841,858) = 721578 / 1
LCM(841,858) = 721578
Least Common Multiple (LCM) of 841 and 858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 858. First we will calculate the prime factors of 841 and 858.
Prime Factorization of 841
Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:
841 = 292
Prime Factorization of 858
Prime factors of 858 are 2, 3, 11, 13. Prime factorization of 858 in exponential form is:
858 = 21 × 31 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 841 and 858.
LCM(841,858) = 292 × 21 × 31 × 111 × 131
LCM(841,858) = 721578
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