What is the Least Common Multiple of 73320 and 73336?

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 73320 and 73336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73320 and 73336, than apply into the LCM equation.

GCF(73320,73336) = 8
LCM(73320,73336) = ( 73320 × 73336) / 8
LCM(73320,73336) = 5376995520 / 8
LCM(73320,73336) = 672124440

Least Common Multiple (LCM) of 73320 and 73336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73320 and 73336. First we will calculate the prime factors of 73320 and 73336.

Prime Factorization of 73320

Prime Factorization of 73336

Now multiplying the highest exponent prime factors to calculate the LCM of 73320 and 73336.

LCM(73320,73336) = 2³ × 3¹ × 5¹ × 13¹ × 47¹ × 89¹ × 103¹
LCM(73320,73336) = 672124440