What is the Least Common Multiple of 55749 and 55769?

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 55749 and 55769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55749 and 55769, than apply into the LCM equation.

GCF(55749,55769) = 1
LCM(55749,55769) = ( 55749 × 55769) / 1
LCM(55749,55769) = 3109065981 / 1
LCM(55749,55769) = 3109065981

Least Common Multiple (LCM) of 55749 and 55769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55749 and 55769. First we will calculate the prime factors of 55749 and 55769.

Prime Factorization of 55749

Prime Factorization of 55769

Now multiplying the highest exponent prime factors to calculate the LCM of 55749 and 55769.

LCM(55749,55769) = 3¹ × 18583¹ × 7¹ × 31¹ × 257¹
LCM(55749,55769) = 3109065981