What is the Least Common Multiple of 91555 and 91568?
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 91555 and 91568 is 8383508240.
LCM(91555,91568) = 8383508240
Least Common Multiple of 91555 and 91568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91555 and 91568, than apply into the LCM equation.
GCF(91555,91568) = 1
LCM(91555,91568) = ( 91555 × 91568) / 1
LCM(91555,91568) = 8383508240 / 1
LCM(91555,91568) = 8383508240
Least Common Multiple (LCM) of 91555 and 91568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91555 and 91568. First we will calculate the prime factors of 91555 and 91568.
Prime Factorization of 91555
Prime factors of 91555 are 5, 18311. Prime factorization of 91555 in exponential form is:
91555 = 51 × 183111
Prime Factorization of 91568
Prime factors of 91568 are 2, 59, 97. Prime factorization of 91568 in exponential form is:
91568 = 24 × 591 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 91555 and 91568.
LCM(91555,91568) = 51 × 183111 × 24 × 591 × 971
LCM(91555,91568) = 8383508240
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