What is the Least Common Multiple of 68685 and 68692?
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 68692 is 4718110020.
LCM(68685,68692) = 4718110020
Least Common Multiple of 68685 and 68692 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 68692, than apply into the LCM equation.
GCF(68685,68692) = 1
LCM(68685,68692) = ( 68685 × 68692) / 1
LCM(68685,68692) = 4718110020 / 1
LCM(68685,68692) = 4718110020
Least Common Multiple (LCM) of 68685 and 68692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68692. First we will calculate the prime factors of 68685 and 68692.
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 68692
Prime factors of 68692 are 2, 13, 1321. Prime factorization of 68692 in exponential form is:
68692 = 22 × 131 × 13211
Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68692.
LCM(68685,68692) = 31 × 51 × 191 × 2411 × 22 × 131 × 13211
LCM(68685,68692) = 4718110020
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