What is the Least Common Multiple of 97708 and 97712?
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 97708 and 97712 is 2386811024.
LCM(97708,97712) = 2386811024
Least Common Multiple of 97708 and 97712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97708 and 97712, than apply into the LCM equation.
GCF(97708,97712) = 4
LCM(97708,97712) = ( 97708 × 97712) / 4
LCM(97708,97712) = 9547244096 / 4
LCM(97708,97712) = 2386811024
Least Common Multiple (LCM) of 97708 and 97712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97708 and 97712. First we will calculate the prime factors of 97708 and 97712.
Prime Factorization of 97708
Prime factors of 97708 are 2, 13, 1879. Prime factorization of 97708 in exponential form is:
97708 = 22 × 131 × 18791
Prime Factorization of 97712
Prime factors of 97712 are 2, 31, 197. Prime factorization of 97712 in exponential form is:
97712 = 24 × 311 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 97708 and 97712.
LCM(97708,97712) = 24 × 131 × 18791 × 311 × 1971
LCM(97708,97712) = 2386811024
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