What is the Least Common Multiple of 65086 and 65091?
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 65086 and 65091 is 4236512826.
LCM(65086,65091) = 4236512826
Least Common Multiple of 65086 and 65091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65086 and 65091, than apply into the LCM equation.
GCF(65086,65091) = 1
LCM(65086,65091) = ( 65086 × 65091) / 1
LCM(65086,65091) = 4236512826 / 1
LCM(65086,65091) = 4236512826
Least Common Multiple (LCM) of 65086 and 65091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65086 and 65091. First we will calculate the prime factors of 65086 and 65091.
Prime Factorization of 65086
Prime factors of 65086 are 2, 7, 4649. Prime factorization of 65086 in exponential form is:
65086 = 21 × 71 × 46491
Prime Factorization of 65091
Prime factors of 65091 are 3, 13, 1669. Prime factorization of 65091 in exponential form is:
65091 = 31 × 131 × 16691
Now multiplying the highest exponent prime factors to calculate the LCM of 65086 and 65091.
LCM(65086,65091) = 21 × 71 × 46491 × 31 × 131 × 16691
LCM(65086,65091) = 4236512826
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