What is the Least Common Multiple of 68484 and 68504?
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 68484 and 68504 is 1172856984.
LCM(68484,68504) = 1172856984
Least Common Multiple of 68484 and 68504 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68484 and 68504, than apply into the LCM equation.
GCF(68484,68504) = 4
LCM(68484,68504) = ( 68484 × 68504) / 4
LCM(68484,68504) = 4691427936 / 4
LCM(68484,68504) = 1172856984
Least Common Multiple (LCM) of 68484 and 68504 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68484 and 68504. First we will calculate the prime factors of 68484 and 68504.
Prime Factorization of 68484
Prime factors of 68484 are 2, 3, 13, 439. Prime factorization of 68484 in exponential form is:
68484 = 22 × 31 × 131 × 4391
Prime Factorization of 68504
Prime factors of 68504 are 2, 8563. Prime factorization of 68504 in exponential form is:
68504 = 23 × 85631
Now multiplying the highest exponent prime factors to calculate the LCM of 68484 and 68504.
LCM(68484,68504) = 23 × 31 × 131 × 4391 × 85631
LCM(68484,68504) = 1172856984
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