What is the Least Common Multiple of 69570 and 69582?

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 69570 and 69582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69570 and 69582, than apply into the LCM equation.

GCF(69570,69582) = 6
LCM(69570,69582) = ( 69570 × 69582) / 6
LCM(69570,69582) = 4840819740 / 6
LCM(69570,69582) = 806803290

Least Common Multiple (LCM) of 69570 and 69582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69570 and 69582. First we will calculate the prime factors of 69570 and 69582.

Prime Factorization of 69570

Prime Factorization of 69582

Now multiplying the highest exponent prime factors to calculate the LCM of 69570 and 69582.

LCM(69570,69582) = 2¹ × 3² × 5¹ × 773¹ × 11597¹
LCM(69570,69582) = 806803290