What is the Least Common Multiple of 97247 and 97266?
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 97247 and 97266 is 9458826702.
LCM(97247,97266) = 9458826702
Least Common Multiple of 97247 and 97266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97247 and 97266, than apply into the LCM equation.
GCF(97247,97266) = 1
LCM(97247,97266) = ( 97247 × 97266) / 1
LCM(97247,97266) = 9458826702 / 1
LCM(97247,97266) = 9458826702
Least Common Multiple (LCM) of 97247 and 97266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97247 and 97266. First we will calculate the prime factors of 97247 and 97266.
Prime Factorization of 97247
Prime factors of 97247 are 31, 3137. Prime factorization of 97247 in exponential form is:
97247 = 311 × 31371
Prime Factorization of 97266
Prime factors of 97266 are 2, 3, 13, 29, 43. Prime factorization of 97266 in exponential form is:
97266 = 21 × 31 × 131 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 97247 and 97266.
LCM(97247,97266) = 311 × 31371 × 21 × 31 × 131 × 291 × 431
LCM(97247,97266) = 9458826702
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