What is the Least Common Multiple of 91231 and 91250?
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 91231 and 91250 is 8324828750.
LCM(91231,91250) = 8324828750
Least Common Multiple of 91231 and 91250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91231 and 91250, than apply into the LCM equation.
GCF(91231,91250) = 1
LCM(91231,91250) = ( 91231 × 91250) / 1
LCM(91231,91250) = 8324828750 / 1
LCM(91231,91250) = 8324828750
Least Common Multiple (LCM) of 91231 and 91250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91231 and 91250. First we will calculate the prime factors of 91231 and 91250.
Prime Factorization of 91231
Prime factors of 91231 are 7, 13033. Prime factorization of 91231 in exponential form is:
91231 = 71 × 130331
Prime Factorization of 91250
Prime factors of 91250 are 2, 5, 73. Prime factorization of 91250 in exponential form is:
91250 = 21 × 54 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 91231 and 91250.
LCM(91231,91250) = 71 × 130331 × 21 × 54 × 731
LCM(91231,91250) = 8324828750
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