What is the Least Common Multiple of 85282 and 85291?
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 85282 and 85291 is 7273787062.
LCM(85282,85291) = 7273787062
Least Common Multiple of 85282 and 85291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85282 and 85291, than apply into the LCM equation.
GCF(85282,85291) = 1
LCM(85282,85291) = ( 85282 × 85291) / 1
LCM(85282,85291) = 7273787062 / 1
LCM(85282,85291) = 7273787062
Least Common Multiple (LCM) of 85282 and 85291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85282 and 85291. First we will calculate the prime factors of 85282 and 85291.
Prime Factorization of 85282
Prime factors of 85282 are 2, 42641. Prime factorization of 85282 in exponential form is:
85282 = 21 × 426411
Prime Factorization of 85291
Prime factors of 85291 are 19, 67. Prime factorization of 85291 in exponential form is:
85291 = 191 × 672
Now multiplying the highest exponent prime factors to calculate the LCM of 85282 and 85291.
LCM(85282,85291) = 21 × 426411 × 191 × 672
LCM(85282,85291) = 7273787062
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