What is the Least Common Multiple of 78238 and 78255?

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 78238 and 78255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78238 and 78255, than apply into the LCM equation.

GCF(78238,78255) = 1
LCM(78238,78255) = ( 78238 × 78255) / 1
LCM(78238,78255) = 6122514690 / 1
LCM(78238,78255) = 6122514690

Least Common Multiple (LCM) of 78238 and 78255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78238 and 78255. First we will calculate the prime factors of 78238 and 78255.

Prime Factorization of 78238

Prime Factorization of 78255

Now multiplying the highest exponent prime factors to calculate the LCM of 78238 and 78255.

LCM(78238,78255) = 2¹ × 39119¹ × 3² × 5¹ × 37¹ × 47¹
LCM(78238,78255) = 6122514690