What is the Least Common Multiple of 85621 and 85641?
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 85621 and 85641 is 7332668061.
LCM(85621,85641) = 7332668061
Least Common Multiple of 85621 and 85641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85621 and 85641, than apply into the LCM equation.
GCF(85621,85641) = 1
LCM(85621,85641) = ( 85621 × 85641) / 1
LCM(85621,85641) = 7332668061 / 1
LCM(85621,85641) = 7332668061
Least Common Multiple (LCM) of 85621 and 85641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85621 and 85641. First we will calculate the prime factors of 85621 and 85641.
Prime Factorization of 85621
Prime factors of 85621 are 85621. Prime factorization of 85621 in exponential form is:
85621 = 856211
Prime Factorization of 85641
Prime factors of 85641 are 3, 28547. Prime factorization of 85641 in exponential form is:
85641 = 31 × 285471
Now multiplying the highest exponent prime factors to calculate the LCM of 85621 and 85641.
LCM(85621,85641) = 856211 × 31 × 285471
LCM(85621,85641) = 7332668061
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