What is the Least Common Multiple of 97711 and 97726?
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 97711 and 97726 is 9548905186.
LCM(97711,97726) = 9548905186
Least Common Multiple of 97711 and 97726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97711 and 97726, than apply into the LCM equation.
GCF(97711,97726) = 1
LCM(97711,97726) = ( 97711 × 97726) / 1
LCM(97711,97726) = 9548905186 / 1
LCM(97711,97726) = 9548905186
Least Common Multiple (LCM) of 97711 and 97726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97711 and 97726. First we will calculate the prime factors of 97711 and 97726.
Prime Factorization of 97711
Prime factors of 97711 are 97711. Prime factorization of 97711 in exponential form is:
97711 = 977111
Prime Factorization of 97726
Prime factors of 97726 are 2, 131, 373. Prime factorization of 97726 in exponential form is:
97726 = 21 × 1311 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 97711 and 97726.
LCM(97711,97726) = 977111 × 21 × 1311 × 3731
LCM(97711,97726) = 9548905186
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