What is the Least Common Multiple of 91513 and 91526?
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 91513 and 91526 is 8375818838.
LCM(91513,91526) = 8375818838
Least Common Multiple of 91513 and 91526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91513 and 91526, than apply into the LCM equation.
GCF(91513,91526) = 1
LCM(91513,91526) = ( 91513 × 91526) / 1
LCM(91513,91526) = 8375818838 / 1
LCM(91513,91526) = 8375818838
Least Common Multiple (LCM) of 91513 and 91526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91513 and 91526. First we will calculate the prime factors of 91513 and 91526.
Prime Factorization of 91513
Prime factors of 91513 are 91513. Prime factorization of 91513 in exponential form is:
91513 = 915131
Prime Factorization of 91526
Prime factors of 91526 are 2, 45763. Prime factorization of 91526 in exponential form is:
91526 = 21 × 457631
Now multiplying the highest exponent prime factors to calculate the LCM of 91513 and 91526.
LCM(91513,91526) = 915131 × 21 × 457631
LCM(91513,91526) = 8375818838
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