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What is the Least Common Multiple of 67428 and 67434?

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 67428 and 67434 is 757823292.

LCM(67428,67434) = 757823292

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Least Common Multiple of 67428 and 67434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67428 and 67434, than apply into the LCM equation.

GCF(67428,67434) = 6
LCM(67428,67434) = ( 67428 × 67434) / 6
LCM(67428,67434) = 4546939752 / 6
LCM(67428,67434) = 757823292

Least Common Multiple (LCM) of 67428 and 67434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67428 and 67434. First we will calculate the prime factors of 67428 and 67434.

Prime Factorization of 67428

Prime factors of 67428 are 2, 3, 1873. Prime factorization of 67428 in exponential form is:

67428 = 22 × 32 × 18731

Prime Factorization of 67434

Prime factors of 67434 are 2, 3, 11239. Prime factorization of 67434 in exponential form is:

67434 = 21 × 31 × 112391

Now multiplying the highest exponent prime factors to calculate the LCM of 67428 and 67434.

LCM(67428,67434) = 22 × 32 × 18731 × 112391
LCM(67428,67434) = 757823292