What is the Least Common Multiple of 91056 and 91061?
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 91056 and 91061 is 8291650416.
LCM(91056,91061) = 8291650416
Least Common Multiple of 91056 and 91061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91056 and 91061, than apply into the LCM equation.
GCF(91056,91061) = 1
LCM(91056,91061) = ( 91056 × 91061) / 1
LCM(91056,91061) = 8291650416 / 1
LCM(91056,91061) = 8291650416
Least Common Multiple (LCM) of 91056 and 91061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91056 and 91061. First we will calculate the prime factors of 91056 and 91061.
Prime Factorization of 91056
Prime factors of 91056 are 2, 3, 7, 271. Prime factorization of 91056 in exponential form is:
91056 = 24 × 31 × 71 × 2711
Prime Factorization of 91061
Prime factors of 91061 are 41, 2221. Prime factorization of 91061 in exponential form is:
91061 = 411 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 91056 and 91061.
LCM(91056,91061) = 24 × 31 × 71 × 2711 × 411 × 22211
LCM(91056,91061) = 8291650416
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