What is the Least Common Multiple of 68027 and 68038?
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 68027 and 68038 is 4628421026.
LCM(68027,68038) = 4628421026
Least Common Multiple of 68027 and 68038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68027 and 68038, than apply into the LCM equation.
GCF(68027,68038) = 1
LCM(68027,68038) = ( 68027 × 68038) / 1
LCM(68027,68038) = 4628421026 / 1
LCM(68027,68038) = 4628421026
Least Common Multiple (LCM) of 68027 and 68038 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68027 and 68038. First we will calculate the prime factors of 68027 and 68038.
Prime Factorization of 68027
Prime factors of 68027 are 59, 1153. Prime factorization of 68027 in exponential form is:
68027 = 591 × 11531
Prime Factorization of 68038
Prime factors of 68038 are 2, 34019. Prime factorization of 68038 in exponential form is:
68038 = 21 × 340191
Now multiplying the highest exponent prime factors to calculate the LCM of 68027 and 68038.
LCM(68027,68038) = 591 × 11531 × 21 × 340191
LCM(68027,68038) = 4628421026
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