What is the Least Common Multiple of 68280 and 68295?

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 68280 and 68295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68280 and 68295, than apply into the LCM equation.

GCF(68280,68295) = 15
LCM(68280,68295) = ( 68280 × 68295) / 15
LCM(68280,68295) = 4663182600 / 15
LCM(68280,68295) = 310878840

Least Common Multiple (LCM) of 68280 and 68295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68280 and 68295. First we will calculate the prime factors of 68280 and 68295.

Prime Factorization of 68280

Prime Factorization of 68295

Now multiplying the highest exponent prime factors to calculate the LCM of 68280 and 68295.

LCM(68280,68295) = 2³ × 3¹ × 5¹ × 569¹ × 29¹ × 157¹
LCM(68280,68295) = 310878840