What is the Least Common Multiple of 77366 and 77378?
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 77366 and 77378 is 2993213174.
LCM(77366,77378) = 2993213174
Least Common Multiple of 77366 and 77378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77366 and 77378, than apply into the LCM equation.
GCF(77366,77378) = 2
LCM(77366,77378) = ( 77366 × 77378) / 2
LCM(77366,77378) = 5986426348 / 2
LCM(77366,77378) = 2993213174
Least Common Multiple (LCM) of 77366 and 77378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77366 and 77378. First we will calculate the prime factors of 77366 and 77378.
Prime Factorization of 77366
Prime factors of 77366 are 2, 101, 383. Prime factorization of 77366 in exponential form is:
77366 = 21 × 1011 × 3831
Prime Factorization of 77378
Prime factors of 77378 are 2, 7, 5527. Prime factorization of 77378 in exponential form is:
77378 = 21 × 71 × 55271
Now multiplying the highest exponent prime factors to calculate the LCM of 77366 and 77378.
LCM(77366,77378) = 21 × 1011 × 3831 × 71 × 55271
LCM(77366,77378) = 2993213174
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