What is the Least Common Multiple of 76048 and 76054?

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 76048 and 76054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76048 and 76054, than apply into the LCM equation.

GCF(76048,76054) = 2
LCM(76048,76054) = ( 76048 × 76054) / 2
LCM(76048,76054) = 5783754592 / 2
LCM(76048,76054) = 2891877296

Least Common Multiple (LCM) of 76048 and 76054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76048 and 76054. First we will calculate the prime factors of 76048 and 76054.

Prime Factorization of 76048

Prime Factorization of 76054

Now multiplying the highest exponent prime factors to calculate the LCM of 76048 and 76054.

LCM(76048,76054) = 2⁴ × 7² × 97¹ × 11¹ × 3457¹
LCM(76048,76054) = 2891877296