What is the Least Common Multiple of 25776 and 25785?

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 25776 and 25785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25776 and 25785, than apply into the LCM equation.

GCF(25776,25785) = 9
LCM(25776,25785) = ( 25776 × 25785) / 9
LCM(25776,25785) = 664634160 / 9
LCM(25776,25785) = 73848240

Least Common Multiple (LCM) of 25776 and 25785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25776 and 25785. First we will calculate the prime factors of 25776 and 25785.

Prime Factorization of 25776

Prime Factorization of 25785

Now multiplying the highest exponent prime factors to calculate the LCM of 25776 and 25785.

LCM(25776,25785) = 2⁴ × 3³ × 179¹ × 5¹ × 191¹
LCM(25776,25785) = 73848240