What is the Least Common Multiple of 97804 and 97824?
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 97804 and 97824 is 2391894624.
LCM(97804,97824) = 2391894624
Least Common Multiple of 97804 and 97824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97804 and 97824, than apply into the LCM equation.
GCF(97804,97824) = 4
LCM(97804,97824) = ( 97804 × 97824) / 4
LCM(97804,97824) = 9567578496 / 4
LCM(97804,97824) = 2391894624
Least Common Multiple (LCM) of 97804 and 97824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97804 and 97824. First we will calculate the prime factors of 97804 and 97824.
Prime Factorization of 97804
Prime factors of 97804 are 2, 7, 499. Prime factorization of 97804 in exponential form is:
97804 = 22 × 72 × 4991
Prime Factorization of 97824
Prime factors of 97824 are 2, 3, 1019. Prime factorization of 97824 in exponential form is:
97824 = 25 × 31 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 97804 and 97824.
LCM(97804,97824) = 25 × 72 × 4991 × 31 × 10191
LCM(97804,97824) = 2391894624
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