What is the Least Common Multiple of 68048 and 68065?

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 68048 and 68065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68048 and 68065, than apply into the LCM equation.

GCF(68048,68065) = 1
LCM(68048,68065) = ( 68048 × 68065) / 1
LCM(68048,68065) = 4631687120 / 1
LCM(68048,68065) = 4631687120

Least Common Multiple (LCM) of 68048 and 68065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68048 and 68065. First we will calculate the prime factors of 68048 and 68065.

Prime Factorization of 68048

Prime Factorization of 68065

Now multiplying the highest exponent prime factors to calculate the LCM of 68048 and 68065.

LCM(68048,68065) = 2⁴ × 4253¹ × 5¹ × 13613¹
LCM(68048,68065) = 4631687120