What is the Least Common Multiple of 69585 and 69590?

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 69585 and 69590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69585 and 69590, than apply into the LCM equation.

GCF(69585,69590) = 5
LCM(69585,69590) = ( 69585 × 69590) / 5
LCM(69585,69590) = 4842420150 / 5
LCM(69585,69590) = 968484030

Least Common Multiple (LCM) of 69585 and 69590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69585 and 69590. First we will calculate the prime factors of 69585 and 69590.

Prime Factorization of 69585

Prime Factorization of 69590

Now multiplying the highest exponent prime factors to calculate the LCM of 69585 and 69590.

LCM(69585,69590) = 3¹ × 5¹ × 4639¹ × 2¹ × 6959¹
LCM(69585,69590) = 968484030