What is the Least Common Multiple of 54234 and 54242?

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 54234 and 54242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54234 and 54242, than apply into the LCM equation.

GCF(54234,54242) = 2
LCM(54234,54242) = ( 54234 × 54242) / 2
LCM(54234,54242) = 2941760628 / 2
LCM(54234,54242) = 1470880314

Least Common Multiple (LCM) of 54234 and 54242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54234 and 54242. First we will calculate the prime factors of 54234 and 54242.

Prime Factorization of 54234

Prime Factorization of 54242

Now multiplying the highest exponent prime factors to calculate the LCM of 54234 and 54242.

LCM(54234,54242) = 2¹ × 3² × 23¹ × 131¹ × 37¹ × 733¹
LCM(54234,54242) = 1470880314