What is the Least Common Multiple of 97476 and 97483?
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 97476 and 97483 is 9502252908.
LCM(97476,97483) = 9502252908
Least Common Multiple of 97476 and 97483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97476 and 97483, than apply into the LCM equation.
GCF(97476,97483) = 1
LCM(97476,97483) = ( 97476 × 97483) / 1
LCM(97476,97483) = 9502252908 / 1
LCM(97476,97483) = 9502252908
Least Common Multiple (LCM) of 97476 and 97483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97476 and 97483. First we will calculate the prime factors of 97476 and 97483.
Prime Factorization of 97476
Prime factors of 97476 are 2, 3, 8123. Prime factorization of 97476 in exponential form is:
97476 = 22 × 31 × 81231
Prime Factorization of 97483
Prime factors of 97483 are 71, 1373. Prime factorization of 97483 in exponential form is:
97483 = 711 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 97476 and 97483.
LCM(97476,97483) = 22 × 31 × 81231 × 711 × 13731
LCM(97476,97483) = 9502252908
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