What is the Least Common Multiple of 69045 and 69053?

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 69045 and 69053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69045 and 69053, than apply into the LCM equation.

GCF(69045,69053) = 1
LCM(69045,69053) = ( 69045 × 69053) / 1
LCM(69045,69053) = 4767764385 / 1
LCM(69045,69053) = 4767764385

Least Common Multiple (LCM) of 69045 and 69053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69045 and 69053. First we will calculate the prime factors of 69045 and 69053.

Prime Factorization of 69045

Prime Factorization of 69053

Now multiplying the highest exponent prime factors to calculate the LCM of 69045 and 69053.

LCM(69045,69053) = 3¹ × 5¹ × 4603¹ × 199¹ × 347¹
LCM(69045,69053) = 4767764385