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What is the Least Common Multiple of 68538 and 68550?

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 68538 and 68550 is 783046650.

LCM(68538,68550) = 783046650

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Least Common Multiple of 68538 and 68550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68538 and 68550, than apply into the LCM equation.

GCF(68538,68550) = 6
LCM(68538,68550) = ( 68538 × 68550) / 6
LCM(68538,68550) = 4698279900 / 6
LCM(68538,68550) = 783046650

Least Common Multiple (LCM) of 68538 and 68550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68538 and 68550. First we will calculate the prime factors of 68538 and 68550.

Prime Factorization of 68538

Prime factors of 68538 are 2, 3, 11423. Prime factorization of 68538 in exponential form is:

68538 = 21 × 31 × 114231

Prime Factorization of 68550

Prime factors of 68550 are 2, 3, 5, 457. Prime factorization of 68550 in exponential form is:

68550 = 21 × 31 × 52 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 68538 and 68550.

LCM(68538,68550) = 21 × 31 × 114231 × 52 × 4571
LCM(68538,68550) = 783046650