What is the Least Common Multiple of 73760 and 73765?

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 73765 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 73765, than apply into the LCM equation.

GCF(73760,73765) = 5
LCM(73760,73765) = ( 73760 × 73765) / 5
LCM(73760,73765) = 5440906400 / 5
LCM(73760,73765) = 1088181280

Least Common Multiple (LCM) of 73760 and 73765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73760 and 73765. First we will calculate the prime factors of 73760 and 73765.

Prime Factorization of 73760

Prime Factorization of 73765

Now multiplying the highest exponent prime factors to calculate the LCM of 73760 and 73765.

LCM(73760,73765) = 2⁵ × 5¹ × 461¹ × 14753¹
LCM(73760,73765) = 1088181280