What is the Least Common Multiple of 8537 and 8550?
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 8537 and 8550 is 72991350.
LCM(8537,8550) = 72991350
Least Common Multiple of 8537 and 8550 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8537 and 8550, than apply into the LCM equation.
GCF(8537,8550) = 1
LCM(8537,8550) = ( 8537 × 8550) / 1
LCM(8537,8550) = 72991350 / 1
LCM(8537,8550) = 72991350
Least Common Multiple (LCM) of 8537 and 8550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8537 and 8550. First we will calculate the prime factors of 8537 and 8550.
Prime Factorization of 8537
Prime factors of 8537 are 8537. Prime factorization of 8537 in exponential form is:
8537 = 85371
Prime Factorization of 8550
Prime factors of 8550 are 2, 3, 5, 19. Prime factorization of 8550 in exponential form is:
8550 = 21 × 32 × 52 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 8537 and 8550.
LCM(8537,8550) = 85371 × 21 × 32 × 52 × 191
LCM(8537,8550) = 72991350
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