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What is the Least Common Multiple of 74742 and 74746?

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 74742 and 74746 is 2793332766.

LCM(74742,74746) = 2793332766

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Least Common Multiple of 74742 and 74746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74742 and 74746, than apply into the LCM equation.

GCF(74742,74746) = 2
LCM(74742,74746) = ( 74742 × 74746) / 2
LCM(74742,74746) = 5586665532 / 2
LCM(74742,74746) = 2793332766

Least Common Multiple (LCM) of 74742 and 74746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74742 and 74746. First we will calculate the prime factors of 74742 and 74746.

Prime Factorization of 74742

Prime factors of 74742 are 2, 3, 12457. Prime factorization of 74742 in exponential form is:

74742 = 21 × 31 × 124571

Prime Factorization of 74746

Prime factors of 74746 are 2, 7, 19, 281. Prime factorization of 74746 in exponential form is:

74746 = 21 × 71 × 191 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 74742 and 74746.

LCM(74742,74746) = 21 × 31 × 124571 × 71 × 191 × 2811
LCM(74742,74746) = 2793332766