What is the Least Common Multiple of 78911 and 78931?
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 78911 and 78931 is 6228524141.
LCM(78911,78931) = 6228524141
Least Common Multiple of 78911 and 78931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78911 and 78931, than apply into the LCM equation.
GCF(78911,78931) = 1
LCM(78911,78931) = ( 78911 × 78931) / 1
LCM(78911,78931) = 6228524141 / 1
LCM(78911,78931) = 6228524141
Least Common Multiple (LCM) of 78911 and 78931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78911 and 78931. First we will calculate the prime factors of 78911 and 78931.
Prime Factorization of 78911
Prime factors of 78911 are 7, 11273. Prime factorization of 78911 in exponential form is:
78911 = 71 × 112731
Prime Factorization of 78931
Prime factors of 78931 are 17, 4643. Prime factorization of 78931 in exponential form is:
78931 = 171 × 46431
Now multiplying the highest exponent prime factors to calculate the LCM of 78911 and 78931.
LCM(78911,78931) = 71 × 112731 × 171 × 46431
LCM(78911,78931) = 6228524141
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