What is the Least Common Multiple of 69430 and 69450?

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 69430 and 69450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69430 and 69450, than apply into the LCM equation.

GCF(69430,69450) = 10
LCM(69430,69450) = ( 69430 × 69450) / 10
LCM(69430,69450) = 4821913500 / 10
LCM(69430,69450) = 482191350

Least Common Multiple (LCM) of 69430 and 69450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69430 and 69450. First we will calculate the prime factors of 69430 and 69450.

Prime Factorization of 69430

Prime Factorization of 69450

Now multiplying the highest exponent prime factors to calculate the LCM of 69430 and 69450.

LCM(69430,69450) = 2¹ × 5² × 53¹ × 131¹ × 3¹ × 463¹
LCM(69430,69450) = 482191350