What is the Least Common Multiple of 48038 and 48048?

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 48038 and 48048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48038 and 48048, than apply into the LCM equation.

GCF(48038,48048) = 2
LCM(48038,48048) = ( 48038 × 48048) / 2
LCM(48038,48048) = 2308129824 / 2
LCM(48038,48048) = 1154064912

Least Common Multiple (LCM) of 48038 and 48048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48038 and 48048. First we will calculate the prime factors of 48038 and 48048.

Prime Factorization of 48038

Prime Factorization of 48048

Now multiplying the highest exponent prime factors to calculate the LCM of 48038 and 48048.

LCM(48038,48048) = 2⁴ × 24019¹ × 3¹ × 7¹ × 11¹ × 13¹
LCM(48038,48048) = 1154064912