What is the Least Common Multiple of 77238 and 77247?

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 77238 and 77247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77238 and 77247, than apply into the LCM equation.

GCF(77238,77247) = 9
LCM(77238,77247) = ( 77238 × 77247) / 9
LCM(77238,77247) = 5966403786 / 9
LCM(77238,77247) = 662933754

Least Common Multiple (LCM) of 77238 and 77247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77238 and 77247. First we will calculate the prime factors of 77238 and 77247.

Prime Factorization of 77238

Prime Factorization of 77247

Now multiplying the highest exponent prime factors to calculate the LCM of 77238 and 77247.

LCM(77238,77247) = 2¹ × 3³ × 7¹ × 613¹ × 2861¹
LCM(77238,77247) = 662933754