What is the Least Common Multiple of 97550 and 97559?
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 97559 is 9516880450.
LCM(97550,97559) = 9516880450
Least Common Multiple of 97550 and 97559 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 97559, than apply into the LCM equation.
GCF(97550,97559) = 1
LCM(97550,97559) = ( 97550 × 97559) / 1
LCM(97550,97559) = 9516880450 / 1
LCM(97550,97559) = 9516880450
Least Common Multiple (LCM) of 97550 and 97559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97550 and 97559. First we will calculate the prime factors of 97550 and 97559.
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 97559
Prime factors of 97559 are 7, 11, 181. Prime factorization of 97559 in exponential form is:
97559 = 72 × 111 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 97550 and 97559.
LCM(97550,97559) = 21 × 52 × 19511 × 72 × 111 × 1811
LCM(97550,97559) = 9516880450
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