What is the Least Common Multiple of 68704 and 68709?
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 68709 is 4720583136.
LCM(68704,68709) = 4720583136
Least Common Multiple of 68704 and 68709 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 68709, than apply into the LCM equation.
GCF(68704,68709) = 1
LCM(68704,68709) = ( 68704 × 68709) / 1
LCM(68704,68709) = 4720583136 / 1
LCM(68704,68709) = 4720583136
Least Common Multiple (LCM) of 68704 and 68709 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68704 and 68709. First we will calculate the prime factors of 68704 and 68709.
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 68709
Prime factors of 68709 are 3, 37, 619. Prime factorization of 68709 in exponential form is:
68709 = 31 × 371 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 68704 and 68709.
LCM(68704,68709) = 25 × 191 × 1131 × 31 × 371 × 6191
LCM(68704,68709) = 4720583136
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