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What is the Least Common Multiple of 67135 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 67135 and 67140 is 901488780.

LCM(67135,67140) = 901488780

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Least Common Multiple of 67135 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 67135 and 67140, than apply into the LCM equation.

GCF(67135,67140) = 5
LCM(67135,67140) = ( 67135 × 67140) / 5
LCM(67135,67140) = 4507443900 / 5
LCM(67135,67140) = 901488780

Least Common Multiple (LCM) of 67135 and 67140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67135 and 67140. First we will calculate the prime factors of 67135 and 67140.

Prime Factorization of 67135

Prime factors of 67135 are 5, 29, 463. Prime factorization of 67135 in exponential form is:

67135 = 51 × 291 × 4631

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 67135 and 67140.

LCM(67135,67140) = 51 × 291 × 4631 × 22 × 32 × 3731
LCM(67135,67140) = 901488780