What is the Least Common Multiple of 69446 and 69457?

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 69446 and 69457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69446 and 69457, than apply into the LCM equation.

GCF(69446,69457) = 1
LCM(69446,69457) = ( 69446 × 69457) / 1
LCM(69446,69457) = 4823510822 / 1
LCM(69446,69457) = 4823510822

Least Common Multiple (LCM) of 69446 and 69457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69446 and 69457. First we will calculate the prime factors of 69446 and 69457.

Prime Factorization of 69446

Prime Factorization of 69457

Now multiplying the highest exponent prime factors to calculate the LCM of 69446 and 69457.

LCM(69446,69457) = 2¹ × 13¹ × 2671¹ × 69457¹
LCM(69446,69457) = 4823510822