What is the Least Common Multiple of 77233 and 77253?

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 77233 and 77253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77233 and 77253, than apply into the LCM equation.

GCF(77233,77253) = 1
LCM(77233,77253) = ( 77233 × 77253) / 1
LCM(77233,77253) = 5966480949 / 1
LCM(77233,77253) = 5966480949

Least Common Multiple (LCM) of 77233 and 77253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77233 and 77253. First we will calculate the prime factors of 77233 and 77253.

Prime Factorization of 77233

Prime Factorization of 77253

Now multiplying the highest exponent prime factors to calculate the LCM of 77233 and 77253.

LCM(77233,77253) = 13² × 457¹ × 3¹ × 11¹ × 2341¹
LCM(77233,77253) = 5966480949