What is the Least Common Multiple of 67136 and 67140?
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 67136 and 67140 is 1126877760.
LCM(67136,67140) = 1126877760
Least Common Multiple of 67136 and 67140 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67136 and 67140, than apply into the LCM equation.
GCF(67136,67140) = 4
LCM(67136,67140) = ( 67136 × 67140) / 4
LCM(67136,67140) = 4507511040 / 4
LCM(67136,67140) = 1126877760
Least Common Multiple (LCM) of 67136 and 67140 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67136 and 67140. First we will calculate the prime factors of 67136 and 67140.
Prime Factorization of 67136
Prime factors of 67136 are 2, 1049. Prime factorization of 67136 in exponential form is:
67136 = 26 × 10491
Prime Factorization of 67140
Prime factors of 67140 are 2, 3, 5, 373. Prime factorization of 67140 in exponential form is:
67140 = 22 × 32 × 51 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 67136 and 67140.
LCM(67136,67140) = 26 × 10491 × 32 × 51 × 3731
LCM(67136,67140) = 1126877760
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