What is the Least Common Multiple of 52076 and 52089?

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 52076 and 52089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52076 and 52089, than apply into the LCM equation.

GCF(52076,52089) = 1
LCM(52076,52089) = ( 52076 × 52089) / 1
LCM(52076,52089) = 2712586764 / 1
LCM(52076,52089) = 2712586764

Least Common Multiple (LCM) of 52076 and 52089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52076 and 52089. First we will calculate the prime factors of 52076 and 52089.

Prime Factorization of 52076

Prime Factorization of 52089

Now multiplying the highest exponent prime factors to calculate the LCM of 52076 and 52089.

LCM(52076,52089) = 2² × 47¹ × 277¹ × 3¹ × 97¹ × 179¹
LCM(52076,52089) = 2712586764