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What is the Least Common Multiple of 68420 and 68426?

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 68420 and 68426 is 2340853460.

LCM(68420,68426) = 2340853460

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Least Common Multiple of 68420 and 68426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68420 and 68426, than apply into the LCM equation.

GCF(68420,68426) = 2
LCM(68420,68426) = ( 68420 × 68426) / 2
LCM(68420,68426) = 4681706920 / 2
LCM(68420,68426) = 2340853460

Least Common Multiple (LCM) of 68420 and 68426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68420 and 68426. First we will calculate the prime factors of 68420 and 68426.

Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 22 × 51 × 111 × 3111

Prime Factorization of 68426

Prime factors of 68426 are 2, 34213. Prime factorization of 68426 in exponential form is:

68426 = 21 × 342131

Now multiplying the highest exponent prime factors to calculate the LCM of 68420 and 68426.

LCM(68420,68426) = 22 × 51 × 111 × 3111 × 342131
LCM(68420,68426) = 2340853460