What is the Least Common Multiple of 68280 and 68290?

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 68290 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 68290, than apply into the LCM equation.

GCF(68280,68290) = 10
LCM(68280,68290) = ( 68280 × 68290) / 10
LCM(68280,68290) = 4662841200 / 10
LCM(68280,68290) = 466284120

Least Common Multiple (LCM) of 68280 and 68290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68280 and 68290. First we will calculate the prime factors of 68280 and 68290.

Prime Factorization of 68280

Prime Factorization of 68290

Now multiplying the highest exponent prime factors to calculate the LCM of 68280 and 68290.

LCM(68280,68290) = 2³ × 3¹ × 5¹ × 569¹ × 6829¹
LCM(68280,68290) = 466284120