What is the Least Common Multiple of 77096 and 77114?
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 77096 and 77114 is 2972590472.
LCM(77096,77114) = 2972590472
Least Common Multiple of 77096 and 77114 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77096 and 77114, than apply into the LCM equation.
GCF(77096,77114) = 2
LCM(77096,77114) = ( 77096 × 77114) / 2
LCM(77096,77114) = 5945180944 / 2
LCM(77096,77114) = 2972590472
Least Common Multiple (LCM) of 77096 and 77114 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77096 and 77114. First we will calculate the prime factors of 77096 and 77114.
Prime Factorization of 77096
Prime factors of 77096 are 2, 23, 419. Prime factorization of 77096 in exponential form is:
77096 = 23 × 231 × 4191
Prime Factorization of 77114
Prime factors of 77114 are 2, 38557. Prime factorization of 77114 in exponential form is:
77114 = 21 × 385571
Now multiplying the highest exponent prime factors to calculate the LCM of 77096 and 77114.
LCM(77096,77114) = 23 × 231 × 4191 × 385571
LCM(77096,77114) = 2972590472
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