What is the Least Common Multiple of 52220 and 52229?

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 52220 and 52229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52220 and 52229, than apply into the LCM equation.

GCF(52220,52229) = 1
LCM(52220,52229) = ( 52220 × 52229) / 1
LCM(52220,52229) = 2727398380 / 1
LCM(52220,52229) = 2727398380

Least Common Multiple (LCM) of 52220 and 52229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52220 and 52229. First we will calculate the prime factors of 52220 and 52229.

Prime Factorization of 52220

Prime Factorization of 52229

Now multiplying the highest exponent prime factors to calculate the LCM of 52220 and 52229.

LCM(52220,52229) = 2² × 5¹ × 7¹ × 373¹ × 29¹ × 1801¹
LCM(52220,52229) = 2727398380