What is the Least Common Multiple of 91254 and 91273?
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 91254 and 91273 is 8329026342.
LCM(91254,91273) = 8329026342
Least Common Multiple of 91254 and 91273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91254 and 91273, than apply into the LCM equation.
GCF(91254,91273) = 1
LCM(91254,91273) = ( 91254 × 91273) / 1
LCM(91254,91273) = 8329026342 / 1
LCM(91254,91273) = 8329026342
Least Common Multiple (LCM) of 91254 and 91273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91254 and 91273. First we will calculate the prime factors of 91254 and 91273.
Prime Factorization of 91254
Prime factors of 91254 are 2, 3, 67, 227. Prime factorization of 91254 in exponential form is:
91254 = 21 × 31 × 671 × 2271
Prime Factorization of 91273
Prime factors of 91273 are 7, 13, 17, 59. Prime factorization of 91273 in exponential form is:
91273 = 71 × 131 × 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 91254 and 91273.
LCM(91254,91273) = 21 × 31 × 671 × 2271 × 71 × 131 × 171 × 591
LCM(91254,91273) = 8329026342
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