What is the Least Common Multiple of 79930 and 79939?
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 79930 and 79939 is 6389524270.
LCM(79930,79939) = 6389524270
Least Common Multiple of 79930 and 79939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79930 and 79939, than apply into the LCM equation.
GCF(79930,79939) = 1
LCM(79930,79939) = ( 79930 × 79939) / 1
LCM(79930,79939) = 6389524270 / 1
LCM(79930,79939) = 6389524270
Least Common Multiple (LCM) of 79930 and 79939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79930 and 79939. First we will calculate the prime factors of 79930 and 79939.
Prime Factorization of 79930
Prime factors of 79930 are 2, 5, 7993. Prime factorization of 79930 in exponential form is:
79930 = 21 × 51 × 79931
Prime Factorization of 79939
Prime factors of 79939 are 79939. Prime factorization of 79939 in exponential form is:
79939 = 799391
Now multiplying the highest exponent prime factors to calculate the LCM of 79930 and 79939.
LCM(79930,79939) = 21 × 51 × 79931 × 799391
LCM(79930,79939) = 6389524270
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