What is the Least Common Multiple of 67233 and 67243?

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 67233 and 67243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67233 and 67243, than apply into the LCM equation.

GCF(67233,67243) = 1
LCM(67233,67243) = ( 67233 × 67243) / 1
LCM(67233,67243) = 4520948619 / 1
LCM(67233,67243) = 4520948619

Least Common Multiple (LCM) of 67233 and 67243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67233 and 67243. First we will calculate the prime factors of 67233 and 67243.

Prime Factorization of 67233

Prime Factorization of 67243

Now multiplying the highest exponent prime factors to calculate the LCM of 67233 and 67243.

LCM(67233,67243) = 3¹ × 73¹ × 307¹ × 11¹ × 6113¹
LCM(67233,67243) = 4520948619