What is the Least Common Multiple of 77047 and 77059?
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 77047 and 77059 is 5937164773.
LCM(77047,77059) = 5937164773
Least Common Multiple of 77047 and 77059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77047 and 77059, than apply into the LCM equation.
GCF(77047,77059) = 1
LCM(77047,77059) = ( 77047 × 77059) / 1
LCM(77047,77059) = 5937164773 / 1
LCM(77047,77059) = 5937164773
Least Common Multiple (LCM) of 77047 and 77059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77047 and 77059. First we will calculate the prime factors of 77047 and 77059.
Prime Factorization of 77047
Prime factors of 77047 are 77047. Prime factorization of 77047 in exponential form is:
77047 = 770471
Prime Factorization of 77059
Prime factors of 77059 are 263, 293. Prime factorization of 77059 in exponential form is:
77059 = 2631 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 77047 and 77059.
LCM(77047,77059) = 770471 × 2631 × 2931
LCM(77047,77059) = 5937164773
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