What is the Least Common Multiple of 49320 and 49335?

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 49320 and 49335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49320 and 49335, than apply into the LCM equation.

GCF(49320,49335) = 15
LCM(49320,49335) = ( 49320 × 49335) / 15
LCM(49320,49335) = 2433202200 / 15
LCM(49320,49335) = 162213480

Least Common Multiple (LCM) of 49320 and 49335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49320 and 49335. First we will calculate the prime factors of 49320 and 49335.

Prime Factorization of 49320

Prime Factorization of 49335

Now multiplying the highest exponent prime factors to calculate the LCM of 49320 and 49335.

LCM(49320,49335) = 2³ × 3² × 5¹ × 137¹ × 11¹ × 13¹ × 23¹
LCM(49320,49335) = 162213480