What is the Least Common Multiple of 61320 and 61336?

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 61336 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 61336, than apply into the LCM equation.

GCF(61320,61336) = 8
LCM(61320,61336) = ( 61320 × 61336) / 8
LCM(61320,61336) = 3761123520 / 8
LCM(61320,61336) = 470140440

Least Common Multiple (LCM) of 61320 and 61336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61320 and 61336. First we will calculate the prime factors of 61320 and 61336.

Prime Factorization of 61320

Prime Factorization of 61336

Now multiplying the highest exponent prime factors to calculate the LCM of 61320 and 61336.

LCM(61320,61336) = 2³ × 3¹ × 5¹ × 7¹ × 73¹ × 11¹ × 17¹ × 41¹
LCM(61320,61336) = 470140440