What is the Least Common Multiple of 53232 and 53238?

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 53232 and 53238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53232 and 53238, than apply into the LCM equation.

GCF(53232,53238) = 6
LCM(53232,53238) = ( 53232 × 53238) / 6
LCM(53232,53238) = 2833965216 / 6
LCM(53232,53238) = 472327536

Least Common Multiple (LCM) of 53232 and 53238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53232 and 53238. First we will calculate the prime factors of 53232 and 53238.

Prime Factorization of 53232

Prime Factorization of 53238

Now multiplying the highest exponent prime factors to calculate the LCM of 53232 and 53238.

LCM(53232,53238) = 2⁴ × 3¹ × 1109¹ × 19¹ × 467¹
LCM(53232,53238) = 472327536