What is the Least Common Multiple of 27642 and 27656?

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 27642 and 27656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27642 and 27656, than apply into the LCM equation.

GCF(27642,27656) = 2
LCM(27642,27656) = ( 27642 × 27656) / 2
LCM(27642,27656) = 764467152 / 2
LCM(27642,27656) = 382233576

Least Common Multiple (LCM) of 27642 and 27656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27642 and 27656. First we will calculate the prime factors of 27642 and 27656.

Prime Factorization of 27642

Prime Factorization of 27656

Now multiplying the highest exponent prime factors to calculate the LCM of 27642 and 27656.

LCM(27642,27656) = 2³ × 3¹ × 17¹ × 271¹ × 3457¹
LCM(27642,27656) = 382233576