What is the Least Common Multiple of 77093 and 77111?
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 77093 and 77111 is 5944718323.
LCM(77093,77111) = 5944718323
Least Common Multiple of 77093 and 77111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77093 and 77111, than apply into the LCM equation.
GCF(77093,77111) = 1
LCM(77093,77111) = ( 77093 × 77111) / 1
LCM(77093,77111) = 5944718323 / 1
LCM(77093,77111) = 5944718323
Least Common Multiple (LCM) of 77093 and 77111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77093 and 77111. First we will calculate the prime factors of 77093 and 77111.
Prime Factorization of 77093
Prime factors of 77093 are 77093. Prime factorization of 77093 in exponential form is:
77093 = 770931
Prime Factorization of 77111
Prime factors of 77111 are 29, 2659. Prime factorization of 77111 in exponential form is:
77111 = 291 × 26591
Now multiplying the highest exponent prime factors to calculate the LCM of 77093 and 77111.
LCM(77093,77111) = 770931 × 291 × 26591
LCM(77093,77111) = 5944718323
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