What is the Least Common Multiple of 53105 and 53117?

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 53105 and 53117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53105 and 53117, than apply into the LCM equation.

GCF(53105,53117) = 1
LCM(53105,53117) = ( 53105 × 53117) / 1
LCM(53105,53117) = 2820778285 / 1
LCM(53105,53117) = 2820778285

Least Common Multiple (LCM) of 53105 and 53117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53105 and 53117. First we will calculate the prime factors of 53105 and 53117.

Prime Factorization of 53105

Prime Factorization of 53117

Now multiplying the highest exponent prime factors to calculate the LCM of 53105 and 53117.

LCM(53105,53117) = 5¹ × 13¹ × 19¹ × 43¹ × 53117¹
LCM(53105,53117) = 2820778285