What is the Least Common Multiple of 97757 and 97766?
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 97757 and 97766 is 9557310862.
LCM(97757,97766) = 9557310862
Least Common Multiple of 97757 and 97766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97757 and 97766, than apply into the LCM equation.
GCF(97757,97766) = 1
LCM(97757,97766) = ( 97757 × 97766) / 1
LCM(97757,97766) = 9557310862 / 1
LCM(97757,97766) = 9557310862
Least Common Multiple (LCM) of 97757 and 97766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97757 and 97766. First we will calculate the prime factors of 97757 and 97766.
Prime Factorization of 97757
Prime factors of 97757 are 11, 8887. Prime factorization of 97757 in exponential form is:
97757 = 111 × 88871
Prime Factorization of 97766
Prime factors of 97766 are 2, 48883. Prime factorization of 97766 in exponential form is:
97766 = 21 × 488831
Now multiplying the highest exponent prime factors to calculate the LCM of 97757 and 97766.
LCM(97757,97766) = 111 × 88871 × 21 × 488831
LCM(97757,97766) = 9557310862
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