What is the Least Common Multiple of 5694 and 5701?

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 5694 and 5701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5694 and 5701, than apply into the LCM equation.

GCF(5694,5701) = 1
LCM(5694,5701) = ( 5694 × 5701) / 1
LCM(5694,5701) = 32461494 / 1
LCM(5694,5701) = 32461494

Least Common Multiple (LCM) of 5694 and 5701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5694 and 5701. First we will calculate the prime factors of 5694 and 5701.

Prime Factorization of 5694

Prime Factorization of 5701

Now multiplying the highest exponent prime factors to calculate the LCM of 5694 and 5701.

LCM(5694,5701) = 2¹ × 3¹ × 13¹ × 73¹ × 5701¹
LCM(5694,5701) = 32461494