What is the Least Common Multiple of 54756 and 54769?

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 54756 and 54769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54756 and 54769, than apply into the LCM equation.

GCF(54756,54769) = 13
LCM(54756,54769) = ( 54756 × 54769) / 13
LCM(54756,54769) = 2998931364 / 13
LCM(54756,54769) = 230687028

Least Common Multiple (LCM) of 54756 and 54769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54756 and 54769. First we will calculate the prime factors of 54756 and 54769.

Prime Factorization of 54756

Prime Factorization of 54769

Now multiplying the highest exponent prime factors to calculate the LCM of 54756 and 54769.

LCM(54756,54769) = 2² × 3⁴ × 13² × 11¹ × 383¹
LCM(54756,54769) = 230687028