What is the Least Common Multiple of 48748 and 48753?

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 48748 and 48753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48748 and 48753, than apply into the LCM equation.

GCF(48748,48753) = 1
LCM(48748,48753) = ( 48748 × 48753) / 1
LCM(48748,48753) = 2376611244 / 1
LCM(48748,48753) = 2376611244

Least Common Multiple (LCM) of 48748 and 48753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48748 and 48753. First we will calculate the prime factors of 48748 and 48753.

Prime Factorization of 48748

Prime Factorization of 48753

Now multiplying the highest exponent prime factors to calculate the LCM of 48748 and 48753.

LCM(48748,48753) = 2² × 7¹ × 1741¹ × 3² × 5417¹
LCM(48748,48753) = 2376611244