What is the Least Common Multiple of 97236 and 97255?
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 97236 and 97255 is 9456687180.
LCM(97236,97255) = 9456687180
Least Common Multiple of 97236 and 97255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97236 and 97255, than apply into the LCM equation.
GCF(97236,97255) = 1
LCM(97236,97255) = ( 97236 × 97255) / 1
LCM(97236,97255) = 9456687180 / 1
LCM(97236,97255) = 9456687180
Least Common Multiple (LCM) of 97236 and 97255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97236 and 97255. First we will calculate the prime factors of 97236 and 97255.
Prime Factorization of 97236
Prime factors of 97236 are 2, 3, 37, 73. Prime factorization of 97236 in exponential form is:
97236 = 22 × 32 × 371 × 731
Prime Factorization of 97255
Prime factors of 97255 are 5, 53, 367. Prime factorization of 97255 in exponential form is:
97255 = 51 × 531 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 97236 and 97255.
LCM(97236,97255) = 22 × 32 × 371 × 731 × 51 × 531 × 3671
LCM(97236,97255) = 9456687180
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