What is the Least Common Multiple of 91553 and 91557?
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 91553 and 91557 is 8382318021.
LCM(91553,91557) = 8382318021
Least Common Multiple of 91553 and 91557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91553 and 91557, than apply into the LCM equation.
GCF(91553,91557) = 1
LCM(91553,91557) = ( 91553 × 91557) / 1
LCM(91553,91557) = 8382318021 / 1
LCM(91553,91557) = 8382318021
Least Common Multiple (LCM) of 91553 and 91557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91553 and 91557. First we will calculate the prime factors of 91553 and 91557.
Prime Factorization of 91553
Prime factors of 91553 are 7, 11, 29, 41. Prime factorization of 91553 in exponential form is:
91553 = 71 × 111 × 291 × 411
Prime Factorization of 91557
Prime factors of 91557 are 3, 3391. Prime factorization of 91557 in exponential form is:
91557 = 33 × 33911
Now multiplying the highest exponent prime factors to calculate the LCM of 91553 and 91557.
LCM(91553,91557) = 71 × 111 × 291 × 411 × 33 × 33911
LCM(91553,91557) = 8382318021
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