What is the Least Common Multiple of 69795 and 69806?

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 69795 and 69806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69795 and 69806, than apply into the LCM equation.

GCF(69795,69806) = 11
LCM(69795,69806) = ( 69795 × 69806) / 11
LCM(69795,69806) = 4872109770 / 11
LCM(69795,69806) = 442919070

Least Common Multiple (LCM) of 69795 and 69806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69795 and 69806. First we will calculate the prime factors of 69795 and 69806.

Prime Factorization of 69795

Prime Factorization of 69806

Now multiplying the highest exponent prime factors to calculate the LCM of 69795 and 69806.

LCM(69795,69806) = 3³ × 5¹ × 11¹ × 47¹ × 2¹ × 19¹ × 167¹
LCM(69795,69806) = 442919070