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What is the Least Common Multiple of 67742 and 67755?

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 67742 and 67755 is 4589859210.

LCM(67742,67755) = 4589859210

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Least Common Multiple of 67742 and 67755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67742 and 67755, than apply into the LCM equation.

GCF(67742,67755) = 1
LCM(67742,67755) = ( 67742 × 67755) / 1
LCM(67742,67755) = 4589859210 / 1
LCM(67742,67755) = 4589859210

Least Common Multiple (LCM) of 67742 and 67755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67742 and 67755. First we will calculate the prime factors of 67742 and 67755.

Prime Factorization of 67742

Prime factors of 67742 are 2, 33871. Prime factorization of 67742 in exponential form is:

67742 = 21 × 338711

Prime Factorization of 67755

Prime factors of 67755 are 3, 5, 4517. Prime factorization of 67755 in exponential form is:

67755 = 31 × 51 × 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 67742 and 67755.

LCM(67742,67755) = 21 × 338711 × 31 × 51 × 45171
LCM(67742,67755) = 4589859210