What is the Least Common Multiple of 77288 and 77293?

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 77288 and 77293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77288 and 77293, than apply into the LCM equation.

GCF(77288,77293) = 1
LCM(77288,77293) = ( 77288 × 77293) / 1
LCM(77288,77293) = 5973821384 / 1
LCM(77288,77293) = 5973821384

Least Common Multiple (LCM) of 77288 and 77293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77288 and 77293. First we will calculate the prime factors of 77288 and 77293.

Prime Factorization of 77288

Prime Factorization of 77293

Now multiplying the highest exponent prime factors to calculate the LCM of 77288 and 77293.

LCM(77288,77293) = 2³ × 9661¹ × 37¹ × 2089¹
LCM(77288,77293) = 5973821384