What is the Least Common Multiple of 69674 and 69690?

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 69674 and 69690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69674 and 69690, than apply into the LCM equation.

GCF(69674,69690) = 2
LCM(69674,69690) = ( 69674 × 69690) / 2
LCM(69674,69690) = 4855581060 / 2
LCM(69674,69690) = 2427790530

Least Common Multiple (LCM) of 69674 and 69690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69674 and 69690. First we will calculate the prime factors of 69674 and 69690.

Prime Factorization of 69674

Prime Factorization of 69690

Now multiplying the highest exponent prime factors to calculate the LCM of 69674 and 69690.

LCM(69674,69690) = 2¹ × 11¹ × 3167¹ × 3¹ × 5¹ × 23¹ × 101¹
LCM(69674,69690) = 2427790530