What is the Least Common Multiple of 96780 and 96788?

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 96780 and 96788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96780 and 96788, than apply into the LCM equation.

GCF(96780,96788) = 4
LCM(96780,96788) = ( 96780 × 96788) / 4
LCM(96780,96788) = 9367142640 / 4
LCM(96780,96788) = 2341785660

Least Common Multiple (LCM) of 96780 and 96788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96780 and 96788. First we will calculate the prime factors of 96780 and 96788.

Prime Factorization of 96780

Prime Factorization of 96788

Now multiplying the highest exponent prime factors to calculate the LCM of 96780 and 96788.

LCM(96780,96788) = 2² × 3¹ × 5¹ × 1613¹ × 24197¹
LCM(96780,96788) = 2341785660