What is the Least Common Multiple of 79172 and 79177?
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 79172 and 79177 is 6268601444.
LCM(79172,79177) = 6268601444
Least Common Multiple of 79172 and 79177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79172 and 79177, than apply into the LCM equation.
GCF(79172,79177) = 1
LCM(79172,79177) = ( 79172 × 79177) / 1
LCM(79172,79177) = 6268601444 / 1
LCM(79172,79177) = 6268601444
Least Common Multiple (LCM) of 79172 and 79177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79172 and 79177. First we will calculate the prime factors of 79172 and 79177.
Prime Factorization of 79172
Prime factors of 79172 are 2, 19793. Prime factorization of 79172 in exponential form is:
79172 = 22 × 197931
Prime Factorization of 79177
Prime factors of 79177 are 7, 11311. Prime factorization of 79177 in exponential form is:
79177 = 71 × 113111
Now multiplying the highest exponent prime factors to calculate the LCM of 79172 and 79177.
LCM(79172,79177) = 22 × 197931 × 71 × 113111
LCM(79172,79177) = 6268601444
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