What is the Least Common Multiple of 68685 and 68703?
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 68685 and 68703 is 1572955185.
LCM(68685,68703) = 1572955185
Least Common Multiple of 68685 and 68703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68685 and 68703, than apply into the LCM equation.
GCF(68685,68703) = 3
LCM(68685,68703) = ( 68685 × 68703) / 3
LCM(68685,68703) = 4718865555 / 3
LCM(68685,68703) = 1572955185
Least Common Multiple (LCM) of 68685 and 68703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68703. First we will calculate the prime factors of 68685 and 68703.
Prime Factorization of 68685
Prime factors of 68685 are 3, 5, 19, 241. Prime factorization of 68685 in exponential form is:
68685 = 31 × 51 × 191 × 2411
Prime Factorization of 68703
Prime factors of 68703 are 3, 22901. Prime factorization of 68703 in exponential form is:
68703 = 31 × 229011
Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68703.
LCM(68685,68703) = 31 × 51 × 191 × 2411 × 229011
LCM(68685,68703) = 1572955185
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