What is the Least Common Multiple of 48780 and 48788?

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 48780 and 48788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48780 and 48788, than apply into the LCM equation.

GCF(48780,48788) = 4
LCM(48780,48788) = ( 48780 × 48788) / 4
LCM(48780,48788) = 2379878640 / 4
LCM(48780,48788) = 594969660

Least Common Multiple (LCM) of 48780 and 48788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48780 and 48788. First we will calculate the prime factors of 48780 and 48788.

Prime Factorization of 48780

Prime Factorization of 48788

Now multiplying the highest exponent prime factors to calculate the LCM of 48780 and 48788.

LCM(48780,48788) = 2² × 3² × 5¹ × 271¹ × 12197¹
LCM(48780,48788) = 594969660