What is the Least Common Multiple of 68445 and 68460?

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 68445 and 68460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68445 and 68460, than apply into the LCM equation.

GCF(68445,68460) = 15
LCM(68445,68460) = ( 68445 × 68460) / 15
LCM(68445,68460) = 4685744700 / 15
LCM(68445,68460) = 312382980

Least Common Multiple (LCM) of 68445 and 68460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68445 and 68460. First we will calculate the prime factors of 68445 and 68460.

Prime Factorization of 68445

Prime Factorization of 68460

Now multiplying the highest exponent prime factors to calculate the LCM of 68445 and 68460.

LCM(68445,68460) = 3⁴ × 5¹ × 13² × 2² × 7¹ × 163¹
LCM(68445,68460) = 312382980