What is the Least Common Multiple of 53214 and 53232?

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 53232 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 53232, than apply into the LCM equation.

GCF(53214,53232) = 6
LCM(53214,53232) = ( 53214 × 53232) / 6
LCM(53214,53232) = 2832687648 / 6
LCM(53214,53232) = 472114608

Least Common Multiple (LCM) of 53214 and 53232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53214 and 53232. First we will calculate the prime factors of 53214 and 53232.

Prime Factorization of 53214

Prime Factorization of 53232

Now multiplying the highest exponent prime factors to calculate the LCM of 53214 and 53232.

LCM(53214,53232) = 2⁴ × 3¹ × 7² × 181¹ × 1109¹
LCM(53214,53232) = 472114608