What is the Least Common Multiple of 52813 and 52818?
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 52813 and 52818 is 2789477034.
LCM(52813,52818) = 2789477034
Least Common Multiple of 52813 and 52818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52813 and 52818, than apply into the LCM equation.
GCF(52813,52818) = 1
LCM(52813,52818) = ( 52813 × 52818) / 1
LCM(52813,52818) = 2789477034 / 1
LCM(52813,52818) = 2789477034
Least Common Multiple (LCM) of 52813 and 52818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52813 and 52818. First we will calculate the prime factors of 52813 and 52818.
Prime Factorization of 52813
Prime factors of 52813 are 52813. Prime factorization of 52813 in exponential form is:
52813 = 528131
Prime Factorization of 52818
Prime factors of 52818 are 2, 3, 8803. Prime factorization of 52818 in exponential form is:
52818 = 21 × 31 × 88031
Now multiplying the highest exponent prime factors to calculate the LCM of 52813 and 52818.
LCM(52813,52818) = 528131 × 21 × 31 × 88031
LCM(52813,52818) = 2789477034
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