What is the Least Common Multiple of 85847 and 85861?
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 85847 and 85861 is 7370909267.
LCM(85847,85861) = 7370909267
Least Common Multiple of 85847 and 85861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85847 and 85861, than apply into the LCM equation.
GCF(85847,85861) = 1
LCM(85847,85861) = ( 85847 × 85861) / 1
LCM(85847,85861) = 7370909267 / 1
LCM(85847,85861) = 7370909267
Least Common Multiple (LCM) of 85847 and 85861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85847 and 85861. First we will calculate the prime factors of 85847 and 85861.
Prime Factorization of 85847
Prime factors of 85847 are 85847. Prime factorization of 85847 in exponential form is:
85847 = 858471
Prime Factorization of 85861
Prime factors of 85861 are 19, 4519. Prime factorization of 85861 in exponential form is:
85861 = 191 × 45191
Now multiplying the highest exponent prime factors to calculate the LCM of 85847 and 85861.
LCM(85847,85861) = 858471 × 191 × 45191
LCM(85847,85861) = 7370909267
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