What is the Least Common Multiple of 85166 and 85177?
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 85166 and 85177 is 7254184382.
LCM(85166,85177) = 7254184382
Least Common Multiple of 85166 and 85177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85166 and 85177, than apply into the LCM equation.
GCF(85166,85177) = 1
LCM(85166,85177) = ( 85166 × 85177) / 1
LCM(85166,85177) = 7254184382 / 1
LCM(85166,85177) = 7254184382
Least Common Multiple (LCM) of 85166 and 85177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85166 and 85177. First we will calculate the prime factors of 85166 and 85177.
Prime Factorization of 85166
Prime factors of 85166 are 2, 97, 439. Prime factorization of 85166 in exponential form is:
85166 = 21 × 971 × 4391
Prime Factorization of 85177
Prime factors of 85177 are 19, 4483. Prime factorization of 85177 in exponential form is:
85177 = 191 × 44831
Now multiplying the highest exponent prime factors to calculate the LCM of 85166 and 85177.
LCM(85166,85177) = 21 × 971 × 4391 × 191 × 44831
LCM(85166,85177) = 7254184382
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