What is the Least Common Multiple of 97773 and 97788?

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 97773 and 97788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97773 and 97788, than apply into the LCM equation.

GCF(97773,97788) = 3
LCM(97773,97788) = ( 97773 × 97788) / 3
LCM(97773,97788) = 9561026124 / 3
LCM(97773,97788) = 3187008708

Least Common Multiple (LCM) of 97773 and 97788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97773 and 97788. First we will calculate the prime factors of 97773 and 97788.

Prime Factorization of 97773

Prime Factorization of 97788

Now multiplying the highest exponent prime factors to calculate the LCM of 97773 and 97788.

LCM(97773,97788) = 3¹ × 13¹ × 23¹ × 109¹ × 2² × 29¹ × 281¹
LCM(97773,97788) = 3187008708