What is the Least Common Multiple of 68415 and 68430?

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 68415 and 68430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68415 and 68430, than apply into the LCM equation.

GCF(68415,68430) = 15
LCM(68415,68430) = ( 68415 × 68430) / 15
LCM(68415,68430) = 4681638450 / 15
LCM(68415,68430) = 312109230

Least Common Multiple (LCM) of 68415 and 68430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68415 and 68430. First we will calculate the prime factors of 68415 and 68430.

Prime Factorization of 68415

Prime Factorization of 68430

Now multiplying the highest exponent prime factors to calculate the LCM of 68415 and 68430.

LCM(68415,68430) = 3¹ × 5¹ × 4561¹ × 2¹ × 2281¹
LCM(68415,68430) = 312109230