What is the Least Common Multiple of 69418 and 69430?

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 69418 and 69430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69418 and 69430, than apply into the LCM equation.

GCF(69418,69430) = 2
LCM(69418,69430) = ( 69418 × 69430) / 2
LCM(69418,69430) = 4819691740 / 2
LCM(69418,69430) = 2409845870

Least Common Multiple (LCM) of 69418 and 69430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69418 and 69430. First we will calculate the prime factors of 69418 and 69430.

Prime Factorization of 69418

Prime Factorization of 69430

Now multiplying the highest exponent prime factors to calculate the LCM of 69418 and 69430.

LCM(69418,69430) = 2¹ × 61¹ × 569¹ × 5¹ × 53¹ × 131¹
LCM(69418,69430) = 2409845870