What is the Least Common Multiple of 68851 and 68855?
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 68851 and 68855 is 4740735605.
LCM(68851,68855) = 4740735605
Least Common Multiple of 68851 and 68855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68851 and 68855, than apply into the LCM equation.
GCF(68851,68855) = 1
LCM(68851,68855) = ( 68851 × 68855) / 1
LCM(68851,68855) = 4740735605 / 1
LCM(68851,68855) = 4740735605
Least Common Multiple (LCM) of 68851 and 68855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68851 and 68855. First we will calculate the prime factors of 68851 and 68855.
Prime Factorization of 68851
Prime factors of 68851 are 31, 2221. Prime factorization of 68851 in exponential form is:
68851 = 311 × 22211
Prime Factorization of 68855
Prime factors of 68855 are 5, 47, 293. Prime factorization of 68855 in exponential form is:
68855 = 51 × 471 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 68851 and 68855.
LCM(68851,68855) = 311 × 22211 × 51 × 471 × 2931
LCM(68851,68855) = 4740735605
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