What is the Least Common Multiple of 97708 and 97715?
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 97715 is 9547537220.
LCM(97708,97715) = 9547537220
Least Common Multiple of 97708 and 97715 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 97715, than apply into the LCM equation.
GCF(97708,97715) = 1
LCM(97708,97715) = ( 97708 × 97715) / 1
LCM(97708,97715) = 9547537220 / 1
LCM(97708,97715) = 9547537220
Least Common Multiple (LCM) of 97708 and 97715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97708 and 97715. First we will calculate the prime factors of 97708 and 97715.
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 97715
Prime factors of 97715 are 5, 19543. Prime factorization of 97715 in exponential form is:
97715 = 51 × 195431
Now multiplying the highest exponent prime factors to calculate the LCM of 97708 and 97715.
LCM(97708,97715) = 22 × 131 × 18791 × 51 × 195431
LCM(97708,97715) = 9547537220
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