What is the Least Common Multiple of 97366 and 97383?
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 97366 and 97383 is 9481793178.
LCM(97366,97383) = 9481793178
Least Common Multiple of 97366 and 97383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97366 and 97383, than apply into the LCM equation.
GCF(97366,97383) = 1
LCM(97366,97383) = ( 97366 × 97383) / 1
LCM(97366,97383) = 9481793178 / 1
LCM(97366,97383) = 9481793178
Least Common Multiple (LCM) of 97366 and 97383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97366 and 97383. First we will calculate the prime factors of 97366 and 97383.
Prime Factorization of 97366
Prime factors of 97366 are 2, 89, 547. Prime factorization of 97366 in exponential form is:
97366 = 21 × 891 × 5471
Prime Factorization of 97383
Prime factors of 97383 are 3, 11, 13, 227. Prime factorization of 97383 in exponential form is:
97383 = 31 × 111 × 131 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 97366 and 97383.
LCM(97366,97383) = 21 × 891 × 5471 × 31 × 111 × 131 × 2271
LCM(97366,97383) = 9481793178
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