What is the Least Common Multiple of 53212 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 53212 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 53212 and 53232, than apply into the LCM equation.

GCF(53212,53232) = 4
LCM(53212,53232) = ( 53212 × 53232) / 4
LCM(53212,53232) = 2832581184 / 4
LCM(53212,53232) = 708145296

Least Common Multiple (LCM) of 53212 and 53232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53212 and 53232. First we will calculate the prime factors of 53212 and 53232.

Prime Factorization of 53212

Prime Factorization of 53232

Now multiplying the highest exponent prime factors to calculate the LCM of 53212 and 53232.

LCM(53212,53232) = 2⁴ × 53¹ × 251¹ × 3¹ × 1109¹
LCM(53212,53232) = 708145296