What is the Least Common Multiple of 97267 and 97276?
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 97267 and 97276 is 9461744692.
LCM(97267,97276) = 9461744692
Least Common Multiple of 97267 and 97276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97267 and 97276, than apply into the LCM equation.
GCF(97267,97276) = 1
LCM(97267,97276) = ( 97267 × 97276) / 1
LCM(97267,97276) = 9461744692 / 1
LCM(97267,97276) = 9461744692
Least Common Multiple (LCM) of 97267 and 97276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97267 and 97276. First we will calculate the prime factors of 97267 and 97276.
Prime Factorization of 97267
Prime factors of 97267 are 23, 4229. Prime factorization of 97267 in exponential form is:
97267 = 231 × 42291
Prime Factorization of 97276
Prime factors of 97276 are 2, 83, 293. Prime factorization of 97276 in exponential form is:
97276 = 22 × 831 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 97267 and 97276.
LCM(97267,97276) = 231 × 42291 × 22 × 831 × 2931
LCM(97267,97276) = 9461744692
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