What is the Least Common Multiple of 91552 and 91569?
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 91552 and 91569 is 8383325088.
LCM(91552,91569) = 8383325088
Least Common Multiple of 91552 and 91569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91552 and 91569, than apply into the LCM equation.
GCF(91552,91569) = 1
LCM(91552,91569) = ( 91552 × 91569) / 1
LCM(91552,91569) = 8383325088 / 1
LCM(91552,91569) = 8383325088
Least Common Multiple (LCM) of 91552 and 91569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91552 and 91569. First we will calculate the prime factors of 91552 and 91569.
Prime Factorization of 91552
Prime factors of 91552 are 2, 2861. Prime factorization of 91552 in exponential form is:
91552 = 25 × 28611
Prime Factorization of 91569
Prime factors of 91569 are 3, 131, 233. Prime factorization of 91569 in exponential form is:
91569 = 31 × 1311 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 91552 and 91569.
LCM(91552,91569) = 25 × 28611 × 31 × 1311 × 2331
LCM(91552,91569) = 8383325088
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