What is the Least Common Multiple of 67233 and 67247?

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 67247 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 67247, than apply into the LCM equation.

GCF(67233,67247) = 1
LCM(67233,67247) = ( 67233 × 67247) / 1
LCM(67233,67247) = 4521217551 / 1
LCM(67233,67247) = 4521217551

Least Common Multiple (LCM) of 67233 and 67247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67233 and 67247. First we will calculate the prime factors of 67233 and 67247.

Prime Factorization of 67233

Prime Factorization of 67247

Now multiplying the highest exponent prime factors to calculate the LCM of 67233 and 67247.

LCM(67233,67247) = 3¹ × 73¹ × 307¹ × 67247¹
LCM(67233,67247) = 4521217551