What is the Least Common Multiple of 69231 and 69242?

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 69231 and 69242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69231 and 69242, than apply into the LCM equation.

GCF(69231,69242) = 1
LCM(69231,69242) = ( 69231 × 69242) / 1
LCM(69231,69242) = 4793692902 / 1
LCM(69231,69242) = 4793692902

Least Common Multiple (LCM) of 69231 and 69242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69231 and 69242. First we will calculate the prime factors of 69231 and 69242.

Prime Factorization of 69231

Prime Factorization of 69242

Now multiplying the highest exponent prime factors to calculate the LCM of 69231 and 69242.

LCM(69231,69242) = 3¹ × 47¹ × 491¹ × 2¹ × 89¹ × 389¹
LCM(69231,69242) = 4793692902