What is the Least Common Multiple of 28486 and 28497?
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 28486 and 28497 is 811765542.
LCM(28486,28497) = 811765542
Least Common Multiple of 28486 and 28497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28486 and 28497, than apply into the LCM equation.
GCF(28486,28497) = 1
LCM(28486,28497) = ( 28486 × 28497) / 1
LCM(28486,28497) = 811765542 / 1
LCM(28486,28497) = 811765542
Least Common Multiple (LCM) of 28486 and 28497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28486 and 28497. First we will calculate the prime factors of 28486 and 28497.
Prime Factorization of 28486
Prime factors of 28486 are 2, 14243. Prime factorization of 28486 in exponential form is:
28486 = 21 × 142431
Prime Factorization of 28497
Prime factors of 28497 are 3, 7, 23, 59. Prime factorization of 28497 in exponential form is:
28497 = 31 × 71 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 28486 and 28497.
LCM(28486,28497) = 21 × 142431 × 31 × 71 × 231 × 591
LCM(28486,28497) = 811765542
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