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What is the Least Common Multiple of 67115 and 67130?

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 67115 and 67130 is 901085990.

LCM(67115,67130) = 901085990

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Least Common Multiple of 67115 and 67130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67115 and 67130, than apply into the LCM equation.

GCF(67115,67130) = 5
LCM(67115,67130) = ( 67115 × 67130) / 5
LCM(67115,67130) = 4505429950 / 5
LCM(67115,67130) = 901085990

Least Common Multiple (LCM) of 67115 and 67130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67115 and 67130. First we will calculate the prime factors of 67115 and 67130.

Prime Factorization of 67115

Prime factors of 67115 are 5, 31, 433. Prime factorization of 67115 in exponential form is:

67115 = 51 × 311 × 4331

Prime Factorization of 67130

Prime factors of 67130 are 2, 5, 7, 137. Prime factorization of 67130 in exponential form is:

67130 = 21 × 51 × 72 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 67115 and 67130.

LCM(67115,67130) = 51 × 311 × 4331 × 21 × 72 × 1371
LCM(67115,67130) = 901085990