What is the Least Common Multiple of 51570 and 51587?

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 51587 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 51587, than apply into the LCM equation.

GCF(51570,51587) = 1
LCM(51570,51587) = ( 51570 × 51587) / 1
LCM(51570,51587) = 2660341590 / 1
LCM(51570,51587) = 2660341590

Least Common Multiple (LCM) of 51570 and 51587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51570 and 51587. First we will calculate the prime factors of 51570 and 51587.

Prime Factorization of 51570

Prime Factorization of 51587

Now multiplying the highest exponent prime factors to calculate the LCM of 51570 and 51587.

LCM(51570,51587) = 2¹ × 3³ × 5¹ × 191¹ × 79¹ × 653¹
LCM(51570,51587) = 2660341590