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What is the Least Common Multiple of 67288 and 67302?

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 67288 and 67302 is 2264308488.

LCM(67288,67302) = 2264308488

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Least Common Multiple of 67288 and 67302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67288 and 67302, than apply into the LCM equation.

GCF(67288,67302) = 2
LCM(67288,67302) = ( 67288 × 67302) / 2
LCM(67288,67302) = 4528616976 / 2
LCM(67288,67302) = 2264308488

Least Common Multiple (LCM) of 67288 and 67302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67288 and 67302. First we will calculate the prime factors of 67288 and 67302.

Prime Factorization of 67288

Prime factors of 67288 are 2, 13, 647. Prime factorization of 67288 in exponential form is:

67288 = 23 × 131 × 6471

Prime Factorization of 67302

Prime factors of 67302 are 2, 3, 3739. Prime factorization of 67302 in exponential form is:

67302 = 21 × 32 × 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 67288 and 67302.

LCM(67288,67302) = 23 × 131 × 6471 × 32 × 37391
LCM(67288,67302) = 2264308488