What is the Least Common Multiple of 97546 and 97566?
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 97546 and 97566 is 4758586518.
LCM(97546,97566) = 4758586518
Least Common Multiple of 97546 and 97566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97546 and 97566, than apply into the LCM equation.
GCF(97546,97566) = 2
LCM(97546,97566) = ( 97546 × 97566) / 2
LCM(97546,97566) = 9517173036 / 2
LCM(97546,97566) = 4758586518
Least Common Multiple (LCM) of 97546 and 97566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97546 and 97566. First we will calculate the prime factors of 97546 and 97566.
Prime Factorization of 97546
Prime factors of 97546 are 2, 17, 19, 151. Prime factorization of 97546 in exponential form is:
97546 = 21 × 171 × 191 × 1511
Prime Factorization of 97566
Prime factors of 97566 are 2, 3, 7, 23, 101. Prime factorization of 97566 in exponential form is:
97566 = 21 × 31 × 71 × 231 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 97546 and 97566.
LCM(97546,97566) = 21 × 171 × 191 × 1511 × 31 × 71 × 231 × 1011
LCM(97546,97566) = 4758586518
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