What is the Least Common Multiple of 73792 and 73810?

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 73792 and 73810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73792 and 73810, than apply into the LCM equation.

GCF(73792,73810) = 2
LCM(73792,73810) = ( 73792 × 73810) / 2
LCM(73792,73810) = 5446587520 / 2
LCM(73792,73810) = 2723293760

Least Common Multiple (LCM) of 73792 and 73810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73792 and 73810. First we will calculate the prime factors of 73792 and 73810.

Prime Factorization of 73792

Prime Factorization of 73810

Now multiplying the highest exponent prime factors to calculate the LCM of 73792 and 73810.

LCM(73792,73810) = 2⁶ × 1153¹ × 5¹ × 11² × 61¹
LCM(73792,73810) = 2723293760