What is the Least Common Multiple of 68370 and 68385?

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 68370 and 68385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68370 and 68385, than apply into the LCM equation.

GCF(68370,68385) = 15
LCM(68370,68385) = ( 68370 × 68385) / 15
LCM(68370,68385) = 4675482450 / 15
LCM(68370,68385) = 311698830

Least Common Multiple (LCM) of 68370 and 68385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68370 and 68385. First we will calculate the prime factors of 68370 and 68385.

Prime Factorization of 68370

Prime Factorization of 68385

Now multiplying the highest exponent prime factors to calculate the LCM of 68370 and 68385.

LCM(68370,68385) = 2¹ × 3¹ × 5¹ × 43¹ × 53¹ × 47¹ × 97¹
LCM(68370,68385) = 311698830