What is the Least Common Multiple of 48696 and 48711?

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 48696 and 48711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48696 and 48711, than apply into the LCM equation.

GCF(48696,48711) = 3
LCM(48696,48711) = ( 48696 × 48711) / 3
LCM(48696,48711) = 2372030856 / 3
LCM(48696,48711) = 790676952

Least Common Multiple (LCM) of 48696 and 48711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48696 and 48711. First we will calculate the prime factors of 48696 and 48711.

Prime Factorization of 48696

Prime Factorization of 48711

Now multiplying the highest exponent prime factors to calculate the LCM of 48696 and 48711.

LCM(48696,48711) = 2³ × 3¹ × 2029¹ × 13¹ × 1249¹
LCM(48696,48711) = 790676952