What is the Least Common Multiple of 68845 and 68860?
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 68845 and 68860 is 948133340.
LCM(68845,68860) = 948133340
Least Common Multiple of 68845 and 68860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68845 and 68860, than apply into the LCM equation.
GCF(68845,68860) = 5
LCM(68845,68860) = ( 68845 × 68860) / 5
LCM(68845,68860) = 4740666700 / 5
LCM(68845,68860) = 948133340
Least Common Multiple (LCM) of 68845 and 68860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68845 and 68860. First we will calculate the prime factors of 68845 and 68860.
Prime Factorization of 68845
Prime factors of 68845 are 5, 7, 281. Prime factorization of 68845 in exponential form is:
68845 = 51 × 72 × 2811
Prime Factorization of 68860
Prime factors of 68860 are 2, 5, 11, 313. Prime factorization of 68860 in exponential form is:
68860 = 22 × 51 × 111 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 68845 and 68860.
LCM(68845,68860) = 51 × 72 × 2811 × 22 × 111 × 3131
LCM(68845,68860) = 948133340
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