What is the Least Common Multiple of 68161 and 68175?

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 68161 and 68175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68161 and 68175, than apply into the LCM equation.

GCF(68161,68175) = 1
LCM(68161,68175) = ( 68161 × 68175) / 1
LCM(68161,68175) = 4646876175 / 1
LCM(68161,68175) = 4646876175

Least Common Multiple (LCM) of 68161 and 68175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68161 and 68175. First we will calculate the prime factors of 68161 and 68175.

Prime Factorization of 68161

Prime Factorization of 68175

Now multiplying the highest exponent prime factors to calculate the LCM of 68161 and 68175.

LCM(68161,68175) = 68161¹ × 3³ × 5² × 101¹
LCM(68161,68175) = 4646876175