What is the Least Common Multiple of 69440 and 69454?

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 69440 and 69454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69440 and 69454, than apply into the LCM equation.

GCF(69440,69454) = 14
LCM(69440,69454) = ( 69440 × 69454) / 14
LCM(69440,69454) = 4822885760 / 14
LCM(69440,69454) = 344491840

Least Common Multiple (LCM) of 69440 and 69454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69440 and 69454. First we will calculate the prime factors of 69440 and 69454.

Prime Factorization of 69440

Prime Factorization of 69454

Now multiplying the highest exponent prime factors to calculate the LCM of 69440 and 69454.

LCM(69440,69454) = 2⁶ × 5¹ × 7¹ × 31¹ × 11² × 41¹
LCM(69440,69454) = 344491840