What is the Least Common Multiple of 52130 and 52143?

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 52130 and 52143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52130 and 52143, than apply into the LCM equation.

GCF(52130,52143) = 13
LCM(52130,52143) = ( 52130 × 52143) / 13
LCM(52130,52143) = 2718214590 / 13
LCM(52130,52143) = 209093430

Least Common Multiple (LCM) of 52130 and 52143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52130 and 52143. First we will calculate the prime factors of 52130 and 52143.

Prime Factorization of 52130

Prime Factorization of 52143

Now multiplying the highest exponent prime factors to calculate the LCM of 52130 and 52143.

LCM(52130,52143) = 2¹ × 5¹ × 13¹ × 401¹ × 3¹ × 7¹ × 191¹
LCM(52130,52143) = 209093430