What is the Least Common Multiple of 27488 and 27492?

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 27488 and 27492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27488 and 27492, than apply into the LCM equation.

GCF(27488,27492) = 4
LCM(27488,27492) = ( 27488 × 27492) / 4
LCM(27488,27492) = 755700096 / 4
LCM(27488,27492) = 188925024

Least Common Multiple (LCM) of 27488 and 27492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27488 and 27492. First we will calculate the prime factors of 27488 and 27492.

Prime Factorization of 27488

Prime Factorization of 27492

Now multiplying the highest exponent prime factors to calculate the LCM of 27488 and 27492.

LCM(27488,27492) = 2⁵ × 859¹ × 3¹ × 29¹ × 79¹
LCM(27488,27492) = 188925024