What is the Least Common Multiple of 10493 and 10509?
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 10493 and 10509 is 110270937.
LCM(10493,10509) = 110270937
Least Common Multiple of 10493 and 10509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10493 and 10509, than apply into the LCM equation.
GCF(10493,10509) = 1
LCM(10493,10509) = ( 10493 × 10509) / 1
LCM(10493,10509) = 110270937 / 1
LCM(10493,10509) = 110270937
Least Common Multiple (LCM) of 10493 and 10509 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10493 and 10509. First we will calculate the prime factors of 10493 and 10509.
Prime Factorization of 10493
Prime factors of 10493 are 7, 1499. Prime factorization of 10493 in exponential form is:
10493 = 71 × 14991
Prime Factorization of 10509
Prime factors of 10509 are 3, 31, 113. Prime factorization of 10509 in exponential form is:
10509 = 31 × 311 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 10493 and 10509.
LCM(10493,10509) = 71 × 14991 × 31 × 311 × 1131
LCM(10493,10509) = 110270937
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