What is the Least Common Multiple of 850 and 860?
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 850 and 860 is 73100.
LCM(850,860) = 73100
Least Common Multiple of 850 and 860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 850 and 860, than apply into the LCM equation.
GCF(850,860) = 10
LCM(850,860) = ( 850 × 860) / 10
LCM(850,860) = 731000 / 10
LCM(850,860) = 73100
Least Common Multiple (LCM) of 850 and 860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 850 and 860. First we will calculate the prime factors of 850 and 860.
Prime Factorization of 850
Prime factors of 850 are 2, 5, 17. Prime factorization of 850 in exponential form is:
850 = 21 × 52 × 171
Prime Factorization of 860
Prime factors of 860 are 2, 5, 43. Prime factorization of 860 in exponential form is:
860 = 22 × 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 850 and 860.
LCM(850,860) = 22 × 52 × 171 × 431
LCM(850,860) = 73100
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