What is the Least Common Multiple of 79813 and 79823?
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 79813 and 79823 is 6370913099.
LCM(79813,79823) = 6370913099
Least Common Multiple of 79813 and 79823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79813 and 79823, than apply into the LCM equation.
GCF(79813,79823) = 1
LCM(79813,79823) = ( 79813 × 79823) / 1
LCM(79813,79823) = 6370913099 / 1
LCM(79813,79823) = 6370913099
Least Common Multiple (LCM) of 79813 and 79823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79813 and 79823. First we will calculate the prime factors of 79813 and 79823.
Prime Factorization of 79813
Prime factors of 79813 are 79813. Prime factorization of 79813 in exponential form is:
79813 = 798131
Prime Factorization of 79823
Prime factors of 79823 are 79823. Prime factorization of 79823 in exponential form is:
79823 = 798231
Now multiplying the highest exponent prime factors to calculate the LCM of 79813 and 79823.
LCM(79813,79823) = 798131 × 798231
LCM(79813,79823) = 6370913099
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