What is the Least Common Multiple of 68691 and 68702?
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 68702 is 4719209082.
LCM(68691,68702) = 4719209082
Least Common Multiple of 68691 and 68702 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 68702, than apply into the LCM equation.
GCF(68691,68702) = 1
LCM(68691,68702) = ( 68691 × 68702) / 1
LCM(68691,68702) = 4719209082 / 1
LCM(68691,68702) = 4719209082
Least Common Multiple (LCM) of 68691 and 68702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68691 and 68702. First we will calculate the prime factors of 68691 and 68702.
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 68702
Prime factors of 68702 are 2, 34351. Prime factorization of 68702 in exponential form is:
68702 = 21 × 343511
Now multiplying the highest exponent prime factors to calculate the LCM of 68691 and 68702.
LCM(68691,68702) = 31 × 71 × 32711 × 21 × 343511
LCM(68691,68702) = 4719209082
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