What is the Least Common Multiple of 68280 and 68300?

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 68300 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 68300, than apply into the LCM equation.

GCF(68280,68300) = 20
LCM(68280,68300) = ( 68280 × 68300) / 20
LCM(68280,68300) = 4663524000 / 20
LCM(68280,68300) = 233176200

Least Common Multiple (LCM) of 68280 and 68300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68280 and 68300. First we will calculate the prime factors of 68280 and 68300.

Prime Factorization of 68280

Prime Factorization of 68300

Now multiplying the highest exponent prime factors to calculate the LCM of 68280 and 68300.

LCM(68280,68300) = 2³ × 3¹ × 5² × 569¹ × 683¹
LCM(68280,68300) = 233176200