What is the Least Common Multiple of 76032 and 76048?

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 76032 and 76048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76032 and 76048, than apply into the LCM equation.

GCF(76032,76048) = 16
LCM(76032,76048) = ( 76032 × 76048) / 16
LCM(76032,76048) = 5782081536 / 16
LCM(76032,76048) = 361380096

Least Common Multiple (LCM) of 76032 and 76048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76032 and 76048. First we will calculate the prime factors of 76032 and 76048.

Prime Factorization of 76032

Prime Factorization of 76048

Now multiplying the highest exponent prime factors to calculate the LCM of 76032 and 76048.

LCM(76032,76048) = 2⁸ × 3³ × 11¹ × 7² × 97¹
LCM(76032,76048) = 361380096