What is the Least Common Multiple of 52134 and 52145?

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 52134 and 52145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52134 and 52145, than apply into the LCM equation.

GCF(52134,52145) = 1
LCM(52134,52145) = ( 52134 × 52145) / 1
LCM(52134,52145) = 2718527430 / 1
LCM(52134,52145) = 2718527430

Least Common Multiple (LCM) of 52134 and 52145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52134 and 52145. First we will calculate the prime factors of 52134 and 52145.

Prime Factorization of 52134

Prime Factorization of 52145

Now multiplying the highest exponent prime factors to calculate the LCM of 52134 and 52145.

LCM(52134,52145) = 2¹ × 3¹ × 8689¹ × 5¹ × 10429¹
LCM(52134,52145) = 2718527430