What is the Least Common Multiple of 32493 and 32497?
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 32493 and 32497 is 1055925021.
LCM(32493,32497) = 1055925021
Least Common Multiple of 32493 and 32497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32493 and 32497, than apply into the LCM equation.
GCF(32493,32497) = 1
LCM(32493,32497) = ( 32493 × 32497) / 1
LCM(32493,32497) = 1055925021 / 1
LCM(32493,32497) = 1055925021
Least Common Multiple (LCM) of 32493 and 32497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32493 and 32497. First we will calculate the prime factors of 32493 and 32497.
Prime Factorization of 32493
Prime factors of 32493 are 3, 10831. Prime factorization of 32493 in exponential form is:
32493 = 31 × 108311
Prime Factorization of 32497
Prime factors of 32497 are 32497. Prime factorization of 32497 in exponential form is:
32497 = 324971
Now multiplying the highest exponent prime factors to calculate the LCM of 32493 and 32497.
LCM(32493,32497) = 31 × 108311 × 324971
LCM(32493,32497) = 1055925021
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