What is the Least Common Multiple of 69802 and 69819?

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 69802 and 69819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69802 and 69819, than apply into the LCM equation.

GCF(69802,69819) = 17
LCM(69802,69819) = ( 69802 × 69819) / 17
LCM(69802,69819) = 4873505838 / 17
LCM(69802,69819) = 286676814

Least Common Multiple (LCM) of 69802 and 69819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69802 and 69819. First we will calculate the prime factors of 69802 and 69819.

Prime Factorization of 69802

Prime Factorization of 69819

Now multiplying the highest exponent prime factors to calculate the LCM of 69802 and 69819.

LCM(69802,69819) = 2¹ × 17¹ × 2053¹ × 3¹ × 37²
LCM(69802,69819) = 286676814