What is the Least Common Multiple of 27613 and 27632?

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 27613 and 27632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27613 and 27632, than apply into the LCM equation.

GCF(27613,27632) = 1
LCM(27613,27632) = ( 27613 × 27632) / 1
LCM(27613,27632) = 763002416 / 1
LCM(27613,27632) = 763002416

Least Common Multiple (LCM) of 27613 and 27632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27613 and 27632. First we will calculate the prime factors of 27613 and 27632.

Prime Factorization of 27613

Prime Factorization of 27632

Now multiplying the highest exponent prime factors to calculate the LCM of 27613 and 27632.

LCM(27613,27632) = 53¹ × 521¹ × 2⁴ × 11¹ × 157¹
LCM(27613,27632) = 763002416