What is the Least Common Multiple of 77371 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 77371 and 77385 is 855336405.
LCM(77371,77385) = 855336405
Least Common Multiple of 77371 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 77371 and 77385, than apply into the LCM equation.
GCF(77371,77385) = 7
LCM(77371,77385) = ( 77371 × 77385) / 7
LCM(77371,77385) = 5987354835 / 7
LCM(77371,77385) = 855336405
Least Common Multiple (LCM) of 77371 and 77385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77371 and 77385. First we will calculate the prime factors of 77371 and 77385.
Prime Factorization of 77371
Prime factors of 77371 are 7, 1579. Prime factorization of 77371 in exponential form is:
77371 = 72 × 15791
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 77371 and 77385.
LCM(77371,77385) = 72 × 15791 × 31 × 51 × 111 × 671
LCM(77371,77385) = 855336405
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