What is the Least Common Multiple of 53214 and 53230?

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 53214 and 53230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53214 and 53230, than apply into the LCM equation.

GCF(53214,53230) = 2
LCM(53214,53230) = ( 53214 × 53230) / 2
LCM(53214,53230) = 2832581220 / 2
LCM(53214,53230) = 1416290610

Least Common Multiple (LCM) of 53214 and 53230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53214 and 53230. First we will calculate the prime factors of 53214 and 53230.

Prime Factorization of 53214

Prime Factorization of 53230

Now multiplying the highest exponent prime factors to calculate the LCM of 53214 and 53230.

LCM(53214,53230) = 2¹ × 3¹ × 7² × 181¹ × 5¹ × 5323¹
LCM(53214,53230) = 1416290610