What is the Least Common Multiple of 68691 and 68699?
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 68691 and 68699 is 4719003009.
LCM(68691,68699) = 4719003009
Least Common Multiple of 68691 and 68699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68691 and 68699, than apply into the LCM equation.
GCF(68691,68699) = 1
LCM(68691,68699) = ( 68691 × 68699) / 1
LCM(68691,68699) = 4719003009 / 1
LCM(68691,68699) = 4719003009
Least Common Multiple (LCM) of 68691 and 68699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68691 and 68699. First we will calculate the prime factors of 68691 and 68699.
Prime Factorization of 68691
Prime factors of 68691 are 3, 7, 3271. Prime factorization of 68691 in exponential form is:
68691 = 31 × 71 × 32711
Prime Factorization of 68699
Prime factors of 68699 are 68699. Prime factorization of 68699 in exponential form is:
68699 = 686991
Now multiplying the highest exponent prime factors to calculate the LCM of 68691 and 68699.
LCM(68691,68699) = 31 × 71 × 32711 × 686991
LCM(68691,68699) = 4719003009
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