What is the Least Common Multiple of 77253 and 77268?

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 77253 and 77268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77253 and 77268, than apply into the LCM equation.

GCF(77253,77268) = 3
LCM(77253,77268) = ( 77253 × 77268) / 3
LCM(77253,77268) = 5969184804 / 3
LCM(77253,77268) = 1989728268

Least Common Multiple (LCM) of 77253 and 77268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77253 and 77268. First we will calculate the prime factors of 77253 and 77268.

Prime Factorization of 77253

Prime Factorization of 77268

Now multiplying the highest exponent prime factors to calculate the LCM of 77253 and 77268.

LCM(77253,77268) = 3¹ × 11¹ × 2341¹ × 2² × 47¹ × 137¹
LCM(77253,77268) = 1989728268