What is the Least Common Multiple of 91473 and 91487?
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 91473 and 91487 is 8368590351.
LCM(91473,91487) = 8368590351
Least Common Multiple of 91473 and 91487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91473 and 91487, than apply into the LCM equation.
GCF(91473,91487) = 1
LCM(91473,91487) = ( 91473 × 91487) / 1
LCM(91473,91487) = 8368590351 / 1
LCM(91473,91487) = 8368590351
Least Common Multiple (LCM) of 91473 and 91487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91473 and 91487. First we will calculate the prime factors of 91473 and 91487.
Prime Factorization of 91473
Prime factors of 91473 are 3, 30491. Prime factorization of 91473 in exponential form is:
91473 = 31 × 304911
Prime Factorization of 91487
Prime factors of 91487 are 11, 8317. Prime factorization of 91487 in exponential form is:
91487 = 111 × 83171
Now multiplying the highest exponent prime factors to calculate the LCM of 91473 and 91487.
LCM(91473,91487) = 31 × 304911 × 111 × 83171
LCM(91473,91487) = 8368590351
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