What is the Least Common Multiple of 79033 and 79042?
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 79033 and 79042 is 6246926386.
LCM(79033,79042) = 6246926386
Least Common Multiple of 79033 and 79042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79033 and 79042, than apply into the LCM equation.
GCF(79033,79042) = 1
LCM(79033,79042) = ( 79033 × 79042) / 1
LCM(79033,79042) = 6246926386 / 1
LCM(79033,79042) = 6246926386
Least Common Multiple (LCM) of 79033 and 79042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79033 and 79042. First we will calculate the prime factors of 79033 and 79042.
Prime Factorization of 79033
Prime factors of 79033 are 17, 4649. Prime factorization of 79033 in exponential form is:
79033 = 171 × 46491
Prime Factorization of 79042
Prime factors of 79042 are 2, 39521. Prime factorization of 79042 in exponential form is:
79042 = 21 × 395211
Now multiplying the highest exponent prime factors to calculate the LCM of 79033 and 79042.
LCM(79033,79042) = 171 × 46491 × 21 × 395211
LCM(79033,79042) = 6246926386
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