What is the Least Common Multiple of 27610 and 27617?

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 27610 and 27617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27610 and 27617, than apply into the LCM equation.

GCF(27610,27617) = 1
LCM(27610,27617) = ( 27610 × 27617) / 1
LCM(27610,27617) = 762505370 / 1
LCM(27610,27617) = 762505370

Least Common Multiple (LCM) of 27610 and 27617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27610 and 27617. First we will calculate the prime factors of 27610 and 27617.

Prime Factorization of 27610

Prime Factorization of 27617

Now multiplying the highest exponent prime factors to calculate the LCM of 27610 and 27617.

LCM(27610,27617) = 2¹ × 5¹ × 11¹ × 251¹ × 27617¹
LCM(27610,27617) = 762505370