What is the Least Common Multiple of 92617 and 92636?
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 92617 and 92636 is 8579668412.
LCM(92617,92636) = 8579668412
Least Common Multiple of 92617 and 92636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92617 and 92636, than apply into the LCM equation.
GCF(92617,92636) = 1
LCM(92617,92636) = ( 92617 × 92636) / 1
LCM(92617,92636) = 8579668412 / 1
LCM(92617,92636) = 8579668412
Least Common Multiple (LCM) of 92617 and 92636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92617 and 92636. First we will calculate the prime factors of 92617 and 92636.
Prime Factorization of 92617
Prime factors of 92617 are 7, 101, 131. Prime factorization of 92617 in exponential form is:
92617 = 71 × 1011 × 1311
Prime Factorization of 92636
Prime factors of 92636 are 2, 23159. Prime factorization of 92636 in exponential form is:
92636 = 22 × 231591
Now multiplying the highest exponent prime factors to calculate the LCM of 92617 and 92636.
LCM(92617,92636) = 71 × 1011 × 1311 × 22 × 231591
LCM(92617,92636) = 8579668412
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