What is the Least Common Multiple of 79379 and 79389?
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 79379 and 79389 is 6301819431.
LCM(79379,79389) = 6301819431
Least Common Multiple of 79379 and 79389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79379 and 79389, than apply into the LCM equation.
GCF(79379,79389) = 1
LCM(79379,79389) = ( 79379 × 79389) / 1
LCM(79379,79389) = 6301819431 / 1
LCM(79379,79389) = 6301819431
Least Common Multiple (LCM) of 79379 and 79389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79379 and 79389. First we will calculate the prime factors of 79379 and 79389.
Prime Factorization of 79379
Prime factors of 79379 are 79379. Prime factorization of 79379 in exponential form is:
79379 = 793791
Prime Factorization of 79389
Prime factors of 79389 are 3, 8821. Prime factorization of 79389 in exponential form is:
79389 = 32 × 88211
Now multiplying the highest exponent prime factors to calculate the LCM of 79379 and 79389.
LCM(79379,79389) = 793791 × 32 × 88211
LCM(79379,79389) = 6301819431
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