What is the Least Common Multiple of 69453 and 69470?

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 69453 and 69470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69453 and 69470, than apply into the LCM equation.

GCF(69453,69470) = 1
LCM(69453,69470) = ( 69453 × 69470) / 1
LCM(69453,69470) = 4824899910 / 1
LCM(69453,69470) = 4824899910

Least Common Multiple (LCM) of 69453 and 69470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69453 and 69470. First we will calculate the prime factors of 69453 and 69470.

Prime Factorization of 69453

Prime Factorization of 69470

Now multiplying the highest exponent prime factors to calculate the LCM of 69453 and 69470.

LCM(69453,69470) = 3² × 7717¹ × 2¹ × 5¹ × 6947¹
LCM(69453,69470) = 4824899910