What is the Least Common Multiple of 79831 and 79847?
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 79831 and 79847 is 6374265857.
LCM(79831,79847) = 6374265857
Least Common Multiple of 79831 and 79847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79831 and 79847, than apply into the LCM equation.
GCF(79831,79847) = 1
LCM(79831,79847) = ( 79831 × 79847) / 1
LCM(79831,79847) = 6374265857 / 1
LCM(79831,79847) = 6374265857
Least Common Multiple (LCM) of 79831 and 79847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79831 and 79847. First we will calculate the prime factors of 79831 and 79847.
Prime Factorization of 79831
Prime factors of 79831 are 97, 823. Prime factorization of 79831 in exponential form is:
79831 = 971 × 8231
Prime Factorization of 79847
Prime factors of 79847 are 79847. Prime factorization of 79847 in exponential form is:
79847 = 798471
Now multiplying the highest exponent prime factors to calculate the LCM of 79831 and 79847.
LCM(79831,79847) = 971 × 8231 × 798471
LCM(79831,79847) = 6374265857
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