What is the Least Common Multiple of 91023 and 91037?
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 91023 and 91037 is 8286460851.
LCM(91023,91037) = 8286460851
Least Common Multiple of 91023 and 91037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91023 and 91037, than apply into the LCM equation.
GCF(91023,91037) = 1
LCM(91023,91037) = ( 91023 × 91037) / 1
LCM(91023,91037) = 8286460851 / 1
LCM(91023,91037) = 8286460851
Least Common Multiple (LCM) of 91023 and 91037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91023 and 91037. First we will calculate the prime factors of 91023 and 91037.
Prime Factorization of 91023
Prime factors of 91023 are 3, 30341. Prime factorization of 91023 in exponential form is:
91023 = 31 × 303411
Prime Factorization of 91037
Prime factors of 91037 are 59, 1543. Prime factorization of 91037 in exponential form is:
91037 = 591 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 91023 and 91037.
LCM(91023,91037) = 31 × 303411 × 591 × 15431
LCM(91023,91037) = 8286460851
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