What is the Least Common Multiple of 97710 and 97714?
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 97710 and 97714 is 4773817470.
LCM(97710,97714) = 4773817470
Least Common Multiple of 97710 and 97714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97710 and 97714, than apply into the LCM equation.
GCF(97710,97714) = 2
LCM(97710,97714) = ( 97710 × 97714) / 2
LCM(97710,97714) = 9547634940 / 2
LCM(97710,97714) = 4773817470
Least Common Multiple (LCM) of 97710 and 97714 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97710 and 97714. First we will calculate the prime factors of 97710 and 97714.
Prime Factorization of 97710
Prime factors of 97710 are 2, 3, 5, 3257. Prime factorization of 97710 in exponential form is:
97710 = 21 × 31 × 51 × 32571
Prime Factorization of 97714
Prime factors of 97714 are 2, 48857. Prime factorization of 97714 in exponential form is:
97714 = 21 × 488571
Now multiplying the highest exponent prime factors to calculate the LCM of 97710 and 97714.
LCM(97710,97714) = 21 × 31 × 51 × 32571 × 488571
LCM(97710,97714) = 4773817470
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