What is the Least Common Multiple of 68302 and 68315?

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 68302 and 68315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68302 and 68315, than apply into the LCM equation.

GCF(68302,68315) = 13
LCM(68302,68315) = ( 68302 × 68315) / 13
LCM(68302,68315) = 4666051130 / 13
LCM(68302,68315) = 358927010

Least Common Multiple (LCM) of 68302 and 68315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68302 and 68315. First we will calculate the prime factors of 68302 and 68315.

Prime Factorization of 68302

Prime Factorization of 68315

Now multiplying the highest exponent prime factors to calculate the LCM of 68302 and 68315.

LCM(68302,68315) = 2¹ × 13¹ × 37¹ × 71¹ × 5¹ × 1051¹
LCM(68302,68315) = 358927010