What is the Least Common Multiple of 97895 and 97900?
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 97895 and 97900 is 1916784100.
LCM(97895,97900) = 1916784100
Least Common Multiple of 97895 and 97900 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97895 and 97900, than apply into the LCM equation.
GCF(97895,97900) = 5
LCM(97895,97900) = ( 97895 × 97900) / 5
LCM(97895,97900) = 9583920500 / 5
LCM(97895,97900) = 1916784100
Least Common Multiple (LCM) of 97895 and 97900 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97895 and 97900. First we will calculate the prime factors of 97895 and 97900.
Prime Factorization of 97895
Prime factors of 97895 are 5, 7, 2797. Prime factorization of 97895 in exponential form is:
97895 = 51 × 71 × 27971
Prime Factorization of 97900
Prime factors of 97900 are 2, 5, 11, 89. Prime factorization of 97900 in exponential form is:
97900 = 22 × 52 × 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 97895 and 97900.
LCM(97895,97900) = 52 × 71 × 27971 × 22 × 111 × 891
LCM(97895,97900) = 1916784100
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