What is the Least Common Multiple of 77096 and 77110?
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 77110 is 2972436280.
LCM(77096,77110) = 2972436280
Least Common Multiple of 77096 and 77110 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 77110, than apply into the LCM equation.
GCF(77096,77110) = 2
LCM(77096,77110) = ( 77096 × 77110) / 2
LCM(77096,77110) = 5944872560 / 2
LCM(77096,77110) = 2972436280
Least Common Multiple (LCM) of 77096 and 77110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77096 and 77110. First we will calculate the prime factors of 77096 and 77110.
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 77110
Prime factors of 77110 are 2, 5, 11, 701. Prime factorization of 77110 in exponential form is:
77110 = 21 × 51 × 111 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 77096 and 77110.
LCM(77096,77110) = 23 × 231 × 4191 × 51 × 111 × 7011
LCM(77096,77110) = 2972436280
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