What is the Least Common Multiple of 54220 and 54238?

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 54220 and 54238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54220 and 54238, than apply into the LCM equation.

GCF(54220,54238) = 2
LCM(54220,54238) = ( 54220 × 54238) / 2
LCM(54220,54238) = 2940784360 / 2
LCM(54220,54238) = 1470392180

Least Common Multiple (LCM) of 54220 and 54238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54220 and 54238. First we will calculate the prime factors of 54220 and 54238.

Prime Factorization of 54220

Prime Factorization of 54238

Now multiplying the highest exponent prime factors to calculate the LCM of 54220 and 54238.

LCM(54220,54238) = 2² × 5¹ × 2711¹ × 47¹ × 577¹
LCM(54220,54238) = 1470392180