What is the Least Common Multiple of 68704 and 68724?
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 68704 and 68724 is 1180403424.
LCM(68704,68724) = 1180403424
Least Common Multiple of 68704 and 68724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68704 and 68724, than apply into the LCM equation.
GCF(68704,68724) = 4
LCM(68704,68724) = ( 68704 × 68724) / 4
LCM(68704,68724) = 4721613696 / 4
LCM(68704,68724) = 1180403424
Least Common Multiple (LCM) of 68704 and 68724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68704 and 68724. First we will calculate the prime factors of 68704 and 68724.
Prime Factorization of 68704
Prime factors of 68704 are 2, 19, 113. Prime factorization of 68704 in exponential form is:
68704 = 25 × 191 × 1131
Prime Factorization of 68724
Prime factors of 68724 are 2, 3, 23, 83. Prime factorization of 68724 in exponential form is:
68724 = 22 × 32 × 231 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 68704 and 68724.
LCM(68704,68724) = 25 × 191 × 1131 × 32 × 231 × 831
LCM(68704,68724) = 1180403424
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