What is the Least Common Multiple of 79438 and 79442?
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 79438 and 79442 is 3155356798.
LCM(79438,79442) = 3155356798
Least Common Multiple of 79438 and 79442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79438 and 79442, than apply into the LCM equation.
GCF(79438,79442) = 2
LCM(79438,79442) = ( 79438 × 79442) / 2
LCM(79438,79442) = 6310713596 / 2
LCM(79438,79442) = 3155356798
Least Common Multiple (LCM) of 79438 and 79442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79438 and 79442. First we will calculate the prime factors of 79438 and 79442.
Prime Factorization of 79438
Prime factors of 79438 are 2, 39719. Prime factorization of 79438 in exponential form is:
79438 = 21 × 397191
Prime Factorization of 79442
Prime factors of 79442 are 2, 11, 23, 157. Prime factorization of 79442 in exponential form is:
79442 = 21 × 111 × 231 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 79438 and 79442.
LCM(79438,79442) = 21 × 397191 × 111 × 231 × 1571
LCM(79438,79442) = 3155356798
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