What is the Least Common Multiple of 55214 and 55234?

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 55214 and 55234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55214 and 55234, than apply into the LCM equation.

GCF(55214,55234) = 2
LCM(55214,55234) = ( 55214 × 55234) / 2
LCM(55214,55234) = 3049690076 / 2
LCM(55214,55234) = 1524845038

Least Common Multiple (LCM) of 55214 and 55234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55214 and 55234. First we will calculate the prime factors of 55214 and 55234.

Prime Factorization of 55214

Prime Factorization of 55234

Now multiplying the highest exponent prime factors to calculate the LCM of 55214 and 55234.

LCM(55214,55234) = 2¹ × 19¹ × 1453¹ × 27617¹
LCM(55214,55234) = 1524845038