What is the Least Common Multiple of 69414 and 69431?

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 69414 and 69431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69414 and 69431, than apply into the LCM equation.

GCF(69414,69431) = 1
LCM(69414,69431) = ( 69414 × 69431) / 1
LCM(69414,69431) = 4819483434 / 1
LCM(69414,69431) = 4819483434

Least Common Multiple (LCM) of 69414 and 69431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69414 and 69431. First we will calculate the prime factors of 69414 and 69431.

Prime Factorization of 69414

Prime Factorization of 69431

Now multiplying the highest exponent prime factors to calculate the LCM of 69414 and 69431.

LCM(69414,69431) = 2¹ × 3¹ × 23¹ × 503¹ × 69431¹
LCM(69414,69431) = 4819483434