What is the Least Common Multiple of 76813 and 76825?
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 76813 and 76825 is 5901158725.
LCM(76813,76825) = 5901158725
Least Common Multiple of 76813 and 76825 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76813 and 76825, than apply into the LCM equation.
GCF(76813,76825) = 1
LCM(76813,76825) = ( 76813 × 76825) / 1
LCM(76813,76825) = 5901158725 / 1
LCM(76813,76825) = 5901158725
Least Common Multiple (LCM) of 76813 and 76825 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76813 and 76825. First we will calculate the prime factors of 76813 and 76825.
Prime Factorization of 76813
Prime factors of 76813 are 11, 6983. Prime factorization of 76813 in exponential form is:
76813 = 111 × 69831
Prime Factorization of 76825
Prime factors of 76825 are 5, 7, 439. Prime factorization of 76825 in exponential form is:
76825 = 52 × 71 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 76813 and 76825.
LCM(76813,76825) = 111 × 69831 × 52 × 71 × 4391
LCM(76813,76825) = 5901158725
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