What is the Least Common Multiple of 97079 and 97095?
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 97079 and 97095 is 9425885505.
LCM(97079,97095) = 9425885505
Least Common Multiple of 97079 and 97095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97079 and 97095, than apply into the LCM equation.
GCF(97079,97095) = 1
LCM(97079,97095) = ( 97079 × 97095) / 1
LCM(97079,97095) = 9425885505 / 1
LCM(97079,97095) = 9425885505
Least Common Multiple (LCM) of 97079 and 97095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97079 and 97095. First we will calculate the prime factors of 97079 and 97095.
Prime Factorization of 97079
Prime factors of 97079 are 193, 503. Prime factorization of 97079 in exponential form is:
97079 = 1931 × 5031
Prime Factorization of 97095
Prime factors of 97095 are 3, 5, 6473. Prime factorization of 97095 in exponential form is:
97095 = 31 × 51 × 64731
Now multiplying the highest exponent prime factors to calculate the LCM of 97079 and 97095.
LCM(97079,97095) = 1931 × 5031 × 31 × 51 × 64731
LCM(97079,97095) = 9425885505
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