What is the Least Common Multiple of 53172 and 53178?

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 53172 and 53178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53172 and 53178, than apply into the LCM equation.

GCF(53172,53178) = 6
LCM(53172,53178) = ( 53172 × 53178) / 6
LCM(53172,53178) = 2827580616 / 6
LCM(53172,53178) = 471263436

Least Common Multiple (LCM) of 53172 and 53178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53172 and 53178. First we will calculate the prime factors of 53172 and 53178.

Prime Factorization of 53172

Prime Factorization of 53178

Now multiplying the highest exponent prime factors to calculate the LCM of 53172 and 53178.

LCM(53172,53178) = 2² × 3² × 7¹ × 211¹ × 8863¹
LCM(53172,53178) = 471263436