What is the Least Common Multiple of 68427 and 68446?
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 68427 and 68446 is 4683554442.
LCM(68427,68446) = 4683554442
Least Common Multiple of 68427 and 68446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68427 and 68446, than apply into the LCM equation.
GCF(68427,68446) = 1
LCM(68427,68446) = ( 68427 × 68446) / 1
LCM(68427,68446) = 4683554442 / 1
LCM(68427,68446) = 4683554442
Least Common Multiple (LCM) of 68427 and 68446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68427 and 68446. First we will calculate the prime factors of 68427 and 68446.
Prime Factorization of 68427
Prime factors of 68427 are 3, 7603. Prime factorization of 68427 in exponential form is:
68427 = 32 × 76031
Prime Factorization of 68446
Prime factors of 68446 are 2, 7, 4889. Prime factorization of 68446 in exponential form is:
68446 = 21 × 71 × 48891
Now multiplying the highest exponent prime factors to calculate the LCM of 68427 and 68446.
LCM(68427,68446) = 32 × 76031 × 21 × 71 × 48891
LCM(68427,68446) = 4683554442
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