What is the Least Common Multiple of 52125 and 52142?

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 52125 and 52142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52125 and 52142, than apply into the LCM equation.

GCF(52125,52142) = 1
LCM(52125,52142) = ( 52125 × 52142) / 1
LCM(52125,52142) = 2717901750 / 1
LCM(52125,52142) = 2717901750

Least Common Multiple (LCM) of 52125 and 52142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52125 and 52142. First we will calculate the prime factors of 52125 and 52142.

Prime Factorization of 52125

Prime Factorization of 52142

Now multiplying the highest exponent prime factors to calculate the LCM of 52125 and 52142.

LCM(52125,52142) = 3¹ × 5³ × 139¹ × 2¹ × 29² × 31¹
LCM(52125,52142) = 2717901750