What is the Least Common Multiple of 76813 and 76818?
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 76818 is 5900621034.
LCM(76813,76818) = 5900621034
Least Common Multiple of 76813 and 76818 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 76818, than apply into the LCM equation.
GCF(76813,76818) = 1
LCM(76813,76818) = ( 76813 × 76818) / 1
LCM(76813,76818) = 5900621034 / 1
LCM(76813,76818) = 5900621034
Least Common Multiple (LCM) of 76813 and 76818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76813 and 76818. First we will calculate the prime factors of 76813 and 76818.
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 76818
Prime factors of 76818 are 2, 3, 7, 31, 59. Prime factorization of 76818 in exponential form is:
76818 = 21 × 31 × 71 × 311 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 76813 and 76818.
LCM(76813,76818) = 111 × 69831 × 21 × 31 × 71 × 311 × 591
LCM(76813,76818) = 5900621034
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