What is the Least Common Multiple of 51570 and 51585?

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 51570 and 51585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51570 and 51585, than apply into the LCM equation.

GCF(51570,51585) = 15
LCM(51570,51585) = ( 51570 × 51585) / 15
LCM(51570,51585) = 2660238450 / 15
LCM(51570,51585) = 177349230

Least Common Multiple (LCM) of 51570 and 51585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51570 and 51585. First we will calculate the prime factors of 51570 and 51585.

Prime Factorization of 51570

Prime Factorization of 51585

Now multiplying the highest exponent prime factors to calculate the LCM of 51570 and 51585.

LCM(51570,51585) = 2¹ × 3³ × 5¹ × 191¹ × 19¹ × 181¹
LCM(51570,51585) = 177349230