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What is the Least Common Multiple of 67362 and 67381?

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 67362 and 67381 is 4538918922.

LCM(67362,67381) = 4538918922

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Least Common Multiple of 67362 and 67381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67362 and 67381, than apply into the LCM equation.

GCF(67362,67381) = 1
LCM(67362,67381) = ( 67362 × 67381) / 1
LCM(67362,67381) = 4538918922 / 1
LCM(67362,67381) = 4538918922

Least Common Multiple (LCM) of 67362 and 67381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67362 and 67381. First we will calculate the prime factors of 67362 and 67381.

Prime Factorization of 67362

Prime factors of 67362 are 2, 3, 103, 109. Prime factorization of 67362 in exponential form is:

67362 = 21 × 31 × 1031 × 1091

Prime Factorization of 67381

Prime factors of 67381 are 43, 1567. Prime factorization of 67381 in exponential form is:

67381 = 431 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 67362 and 67381.

LCM(67362,67381) = 21 × 31 × 1031 × 1091 × 431 × 15671
LCM(67362,67381) = 4538918922