What is the Least Common Multiple of 73760 and 73774?

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 73774 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 73774, than apply into the LCM equation.

GCF(73760,73774) = 2
LCM(73760,73774) = ( 73760 × 73774) / 2
LCM(73760,73774) = 5441570240 / 2
LCM(73760,73774) = 2720785120

Least Common Multiple (LCM) of 73760 and 73774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73760 and 73774. First we will calculate the prime factors of 73760 and 73774.

Prime Factorization of 73760

Prime Factorization of 73774

Now multiplying the highest exponent prime factors to calculate the LCM of 73760 and 73774.

LCM(73760,73774) = 2⁵ × 5¹ × 461¹ × 36887¹
LCM(73760,73774) = 2720785120