What is the Least Common Multiple of 68544 and 68557?
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 68544 and 68557 is 4699171008.
LCM(68544,68557) = 4699171008
Least Common Multiple of 68544 and 68557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68544 and 68557, than apply into the LCM equation.
GCF(68544,68557) = 1
LCM(68544,68557) = ( 68544 × 68557) / 1
LCM(68544,68557) = 4699171008 / 1
LCM(68544,68557) = 4699171008
Least Common Multiple (LCM) of 68544 and 68557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68544 and 68557. First we will calculate the prime factors of 68544 and 68557.
Prime Factorization of 68544
Prime factors of 68544 are 2, 3, 7, 17. Prime factorization of 68544 in exponential form is:
68544 = 26 × 32 × 71 × 171
Prime Factorization of 68557
Prime factors of 68557 are 179, 383. Prime factorization of 68557 in exponential form is:
68557 = 1791 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 68544 and 68557.
LCM(68544,68557) = 26 × 32 × 71 × 171 × 1791 × 3831
LCM(68544,68557) = 4699171008
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