What is the Least Common Multiple of 28328 and 28337?
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 28328 and 28337 is 802730536.
LCM(28328,28337) = 802730536
Least Common Multiple of 28328 and 28337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28328 and 28337, than apply into the LCM equation.
GCF(28328,28337) = 1
LCM(28328,28337) = ( 28328 × 28337) / 1
LCM(28328,28337) = 802730536 / 1
LCM(28328,28337) = 802730536
Least Common Multiple (LCM) of 28328 and 28337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28328 and 28337. First we will calculate the prime factors of 28328 and 28337.
Prime Factorization of 28328
Prime factors of 28328 are 2, 3541. Prime factorization of 28328 in exponential form is:
28328 = 23 × 35411
Prime Factorization of 28337
Prime factors of 28337 are 43, 659. Prime factorization of 28337 in exponential form is:
28337 = 431 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 28328 and 28337.
LCM(28328,28337) = 23 × 35411 × 431 × 6591
LCM(28328,28337) = 802730536
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