What is the Least Common Multiple of 91453 and 91458?
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 91453 and 91458 is 8364108474.
LCM(91453,91458) = 8364108474
Least Common Multiple of 91453 and 91458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91453 and 91458, than apply into the LCM equation.
GCF(91453,91458) = 1
LCM(91453,91458) = ( 91453 × 91458) / 1
LCM(91453,91458) = 8364108474 / 1
LCM(91453,91458) = 8364108474
Least Common Multiple (LCM) of 91453 and 91458 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91453 and 91458. First we will calculate the prime factors of 91453 and 91458.
Prime Factorization of 91453
Prime factors of 91453 are 91453. Prime factorization of 91453 in exponential form is:
91453 = 914531
Prime Factorization of 91458
Prime factors of 91458 are 2, 3, 5081. Prime factorization of 91458 in exponential form is:
91458 = 21 × 32 × 50811
Now multiplying the highest exponent prime factors to calculate the LCM of 91453 and 91458.
LCM(91453,91458) = 914531 × 21 × 32 × 50811
LCM(91453,91458) = 8364108474
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