What is the Least Common Multiple of 79171 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 79171 and 79177 is 6268522267.
LCM(79171,79177) = 6268522267
Least Common Multiple of 79171 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 79171 and 79177, than apply into the LCM equation.
GCF(79171,79177) = 1
LCM(79171,79177) = ( 79171 × 79177) / 1
LCM(79171,79177) = 6268522267 / 1
LCM(79171,79177) = 6268522267
Least Common Multiple (LCM) of 79171 and 79177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79171 and 79177. First we will calculate the prime factors of 79171 and 79177.
Prime Factorization of 79171
Prime factors of 79171 are 41, 1931. Prime factorization of 79171 in exponential form is:
79171 = 411 × 19311
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 79171 and 79177.
LCM(79171,79177) = 411 × 19311 × 71 × 113111
LCM(79171,79177) = 6268522267
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