What is the Least Common Multiple of 69549 and 69563?

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 69549 and 69563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69549 and 69563, than apply into the LCM equation.

GCF(69549,69563) = 1
LCM(69549,69563) = ( 69549 × 69563) / 1
LCM(69549,69563) = 4838037087 / 1
LCM(69549,69563) = 4838037087

Least Common Multiple (LCM) of 69549 and 69563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69549 and 69563. First we will calculate the prime factors of 69549 and 69563.

Prime Factorization of 69549

Prime Factorization of 69563

Now multiplying the highest exponent prime factors to calculate the LCM of 69549 and 69563.

LCM(69549,69563) = 3¹ × 97¹ × 239¹ × 13¹ × 5351¹
LCM(69549,69563) = 4838037087