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What is the Least Common Multiple of 68472 and 68492?

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 68472 and 68492 is 1172446056.

LCM(68472,68492) = 1172446056

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Least Common Multiple of 68472 and 68492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68472 and 68492, than apply into the LCM equation.

GCF(68472,68492) = 4
LCM(68472,68492) = ( 68472 × 68492) / 4
LCM(68472,68492) = 4689784224 / 4
LCM(68472,68492) = 1172446056

Least Common Multiple (LCM) of 68472 and 68492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68472 and 68492. First we will calculate the prime factors of 68472 and 68492.

Prime Factorization of 68472

Prime factors of 68472 are 2, 3, 317. Prime factorization of 68472 in exponential form is:

68472 = 23 × 33 × 3171

Prime Factorization of 68492

Prime factors of 68492 are 2, 17123. Prime factorization of 68492 in exponential form is:

68492 = 22 × 171231

Now multiplying the highest exponent prime factors to calculate the LCM of 68472 and 68492.

LCM(68472,68492) = 23 × 33 × 3171 × 171231
LCM(68472,68492) = 1172446056