What is the Least Common Multiple of 97550 and 97569?
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 97550 and 97569 is 9517855950.
LCM(97550,97569) = 9517855950
Least Common Multiple of 97550 and 97569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97550 and 97569, than apply into the LCM equation.
GCF(97550,97569) = 1
LCM(97550,97569) = ( 97550 × 97569) / 1
LCM(97550,97569) = 9517855950 / 1
LCM(97550,97569) = 9517855950
Least Common Multiple (LCM) of 97550 and 97569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97550 and 97569. First we will calculate the prime factors of 97550 and 97569.
Prime Factorization of 97550
Prime factors of 97550 are 2, 5, 1951. Prime factorization of 97550 in exponential form is:
97550 = 21 × 52 × 19511
Prime Factorization of 97569
Prime factors of 97569 are 3, 37, 293. Prime factorization of 97569 in exponential form is:
97569 = 32 × 371 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 97550 and 97569.
LCM(97550,97569) = 21 × 52 × 19511 × 32 × 371 × 2931
LCM(97550,97569) = 9517855950
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