What is the Least Common Multiple of 68240 and 68245?

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 68240 and 68245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68240 and 68245, than apply into the LCM equation.

GCF(68240,68245) = 5
LCM(68240,68245) = ( 68240 × 68245) / 5
LCM(68240,68245) = 4657038800 / 5
LCM(68240,68245) = 931407760

Least Common Multiple (LCM) of 68240 and 68245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68240 and 68245. First we will calculate the prime factors of 68240 and 68245.

Prime Factorization of 68240

Prime Factorization of 68245

Now multiplying the highest exponent prime factors to calculate the LCM of 68240 and 68245.

LCM(68240,68245) = 2⁴ × 5¹ × 853¹ × 13649¹
LCM(68240,68245) = 931407760