What is the Least Common Multiple of 68654 and 68658?
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 68654 and 68658 is 2356823166.
LCM(68654,68658) = 2356823166
Least Common Multiple of 68654 and 68658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68654 and 68658, than apply into the LCM equation.
GCF(68654,68658) = 2
LCM(68654,68658) = ( 68654 × 68658) / 2
LCM(68654,68658) = 4713646332 / 2
LCM(68654,68658) = 2356823166
Least Common Multiple (LCM) of 68654 and 68658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68654 and 68658. First we will calculate the prime factors of 68654 and 68658.
Prime Factorization of 68654
Prime factors of 68654 are 2, 34327. Prime factorization of 68654 in exponential form is:
68654 = 21 × 343271
Prime Factorization of 68658
Prime factors of 68658 are 2, 3, 11443. Prime factorization of 68658 in exponential form is:
68658 = 21 × 31 × 114431
Now multiplying the highest exponent prime factors to calculate the LCM of 68654 and 68658.
LCM(68654,68658) = 21 × 343271 × 31 × 114431
LCM(68654,68658) = 2356823166
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