What is the Least Common Multiple of 73760 and 73764?

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 73760 and 73764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73760 and 73764, than apply into the LCM equation.

GCF(73760,73764) = 4
LCM(73760,73764) = ( 73760 × 73764) / 4
LCM(73760,73764) = 5440832640 / 4
LCM(73760,73764) = 1360208160

Least Common Multiple (LCM) of 73760 and 73764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73760 and 73764. First we will calculate the prime factors of 73760 and 73764.

Prime Factorization of 73760

Prime Factorization of 73764

Now multiplying the highest exponent prime factors to calculate the LCM of 73760 and 73764.

LCM(73760,73764) = 2⁵ × 5¹ × 461¹ × 3³ × 683¹
LCM(73760,73764) = 1360208160