What is the Least Common Multiple of 91509 and 91518?
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 91509 and 91518 is 2791573554.
LCM(91509,91518) = 2791573554
Least Common Multiple of 91509 and 91518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91509 and 91518, than apply into the LCM equation.
GCF(91509,91518) = 3
LCM(91509,91518) = ( 91509 × 91518) / 3
LCM(91509,91518) = 8374720662 / 3
LCM(91509,91518) = 2791573554
Least Common Multiple (LCM) of 91509 and 91518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91509 and 91518. First we will calculate the prime factors of 91509 and 91518.
Prime Factorization of 91509
Prime factors of 91509 are 3, 11, 47, 59. Prime factorization of 91509 in exponential form is:
91509 = 31 × 111 × 471 × 591
Prime Factorization of 91518
Prime factors of 91518 are 2, 3, 7, 2179. Prime factorization of 91518 in exponential form is:
91518 = 21 × 31 × 71 × 21791
Now multiplying the highest exponent prime factors to calculate the LCM of 91509 and 91518.
LCM(91509,91518) = 31 × 111 × 471 × 591 × 21 × 71 × 21791
LCM(91509,91518) = 2791573554
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