What is the Least Common Multiple of 55238 and 55246?

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 55238 and 55246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55238 and 55246, than apply into the LCM equation.

GCF(55238,55246) = 2
LCM(55238,55246) = ( 55238 × 55246) / 2
LCM(55238,55246) = 3051678548 / 2
LCM(55238,55246) = 1525839274

Least Common Multiple (LCM) of 55238 and 55246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55238 and 55246. First we will calculate the prime factors of 55238 and 55246.

Prime Factorization of 55238

Prime Factorization of 55246

Now multiplying the highest exponent prime factors to calculate the LCM of 55238 and 55246.

LCM(55238,55246) = 2¹ × 71¹ × 389¹ × 23¹ × 1201¹
LCM(55238,55246) = 1525839274