What is the Least Common Multiple of 77366 and 77385?
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 77385 is 5986967910.
LCM(77366,77385) = 5986967910
Least Common Multiple of 77366 and 77385 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 77385, than apply into the LCM equation.
GCF(77366,77385) = 1
LCM(77366,77385) = ( 77366 × 77385) / 1
LCM(77366,77385) = 5986967910 / 1
LCM(77366,77385) = 5986967910
Least Common Multiple (LCM) of 77366 and 77385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77366 and 77385. First we will calculate the prime factors of 77366 and 77385.
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 77385
Prime factors of 77385 are 3, 5, 7, 11, 67. Prime factorization of 77385 in exponential form is:
77385 = 31 × 51 × 71 × 111 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 77366 and 77385.
LCM(77366,77385) = 21 × 1011 × 3831 × 31 × 51 × 71 × 111 × 671
LCM(77366,77385) = 5986967910
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