What is the Least Common Multiple of 48768 and 48780?

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 48768 and 48780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48768 and 48780, than apply into the LCM equation.

GCF(48768,48780) = 12
LCM(48768,48780) = ( 48768 × 48780) / 12
LCM(48768,48780) = 2378903040 / 12
LCM(48768,48780) = 198241920

Least Common Multiple (LCM) of 48768 and 48780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48768 and 48780. First we will calculate the prime factors of 48768 and 48780.

Prime Factorization of 48768

Prime Factorization of 48780

Now multiplying the highest exponent prime factors to calculate the LCM of 48768 and 48780.

LCM(48768,48780) = 2⁷ × 3² × 127¹ × 5¹ × 271¹
LCM(48768,48780) = 198241920