What is the Least Common Multiple of 96048 and 96052?

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 96048 and 96052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96048 and 96052, than apply into the LCM equation.

GCF(96048,96052) = 4
LCM(96048,96052) = ( 96048 × 96052) / 4
LCM(96048,96052) = 9225602496 / 4
LCM(96048,96052) = 2306400624

Least Common Multiple (LCM) of 96048 and 96052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96048 and 96052. First we will calculate the prime factors of 96048 and 96052.

Prime Factorization of 96048

Prime Factorization of 96052

Now multiplying the highest exponent prime factors to calculate the LCM of 96048 and 96052.

LCM(96048,96052) = 2⁴ × 3² × 23¹ × 29¹ × 11¹ × 37¹ × 59¹
LCM(96048,96052) = 2306400624