What is the Least Common Multiple of 53744 and 53749?

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 53744 and 53749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53744 and 53749, than apply into the LCM equation.

GCF(53744,53749) = 1
LCM(53744,53749) = ( 53744 × 53749) / 1
LCM(53744,53749) = 2888686256 / 1
LCM(53744,53749) = 2888686256

Least Common Multiple (LCM) of 53744 and 53749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53744 and 53749. First we will calculate the prime factors of 53744 and 53749.

Prime Factorization of 53744

Prime Factorization of 53749

Now multiplying the highest exponent prime factors to calculate the LCM of 53744 and 53749.

LCM(53744,53749) = 2⁴ × 3359¹ × 59¹ × 911¹
LCM(53744,53749) = 2888686256