What is the Least Common Multiple of 69518 and 69538?

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 of 69518 and 69538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69518 and 69538, than apply into the LCM equation.

GCF(69518,69538) = 2
LCM(69518,69538) = ( 69518 × 69538) / 2
LCM(69518,69538) = 4834142684 / 2
LCM(69518,69538) = 2417071342

Least Common Multiple (LCM) of 69518 and 69538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69518 and 69538. First we will calculate the prime factors of 69518 and 69538.

Prime Factorization of 69518

Prime Factorization of 69538

Now multiplying the highest exponent prime factors to calculate the LCM of 69518 and 69538.

LCM(69518,69538) = 2¹ × 34759¹ × 7¹ × 4967¹
LCM(69518,69538) = 2417071342