What is the Least Common Multiple of 85107 and 85127?
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 85107 and 85127 is 7244903589.
LCM(85107,85127) = 7244903589
Least Common Multiple of 85107 and 85127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85107 and 85127, than apply into the LCM equation.
GCF(85107,85127) = 1
LCM(85107,85127) = ( 85107 × 85127) / 1
LCM(85107,85127) = 7244903589 / 1
LCM(85107,85127) = 7244903589
Least Common Multiple (LCM) of 85107 and 85127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85107 and 85127. First we will calculate the prime factors of 85107 and 85127.
Prime Factorization of 85107
Prime factors of 85107 are 3, 11, 2579. Prime factorization of 85107 in exponential form is:
85107 = 31 × 111 × 25791
Prime Factorization of 85127
Prime factors of 85127 are 7, 12161. Prime factorization of 85127 in exponential form is:
85127 = 71 × 121611
Now multiplying the highest exponent prime factors to calculate the LCM of 85107 and 85127.
LCM(85107,85127) = 31 × 111 × 25791 × 71 × 121611
LCM(85107,85127) = 7244903589
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