What is the Least Common Multiple of 91267 and 91282?
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 91267 and 91282 is 8331034294.
LCM(91267,91282) = 8331034294
Least Common Multiple of 91267 and 91282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91267 and 91282, than apply into the LCM equation.
GCF(91267,91282) = 1
LCM(91267,91282) = ( 91267 × 91282) / 1
LCM(91267,91282) = 8331034294 / 1
LCM(91267,91282) = 8331034294
Least Common Multiple (LCM) of 91267 and 91282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91267 and 91282. First we will calculate the prime factors of 91267 and 91282.
Prime Factorization of 91267
Prime factors of 91267 are 11, 8297. Prime factorization of 91267 in exponential form is:
91267 = 111 × 82971
Prime Factorization of 91282
Prime factors of 91282 are 2, 45641. Prime factorization of 91282 in exponential form is:
91282 = 21 × 456411
Now multiplying the highest exponent prime factors to calculate the LCM of 91267 and 91282.
LCM(91267,91282) = 111 × 82971 × 21 × 456411
LCM(91267,91282) = 8331034294
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