What is the Least Common Multiple of 61320 and 61335?

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 61320 and 61335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61320 and 61335, than apply into the LCM equation.

GCF(61320,61335) = 15
LCM(61320,61335) = ( 61320 × 61335) / 15
LCM(61320,61335) = 3761062200 / 15
LCM(61320,61335) = 250737480

Least Common Multiple (LCM) of 61320 and 61335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61320 and 61335. First we will calculate the prime factors of 61320 and 61335.

Prime Factorization of 61320

Prime Factorization of 61335

Now multiplying the highest exponent prime factors to calculate the LCM of 61320 and 61335.

LCM(61320,61335) = 2³ × 3² × 5¹ × 7¹ × 73¹ × 29¹ × 47¹
LCM(61320,61335) = 250737480