What is the Least Common Multiple of 54214 and 54229?

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 54214 and 54229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54214 and 54229, than apply into the LCM equation.

GCF(54214,54229) = 1
LCM(54214,54229) = ( 54214 × 54229) / 1
LCM(54214,54229) = 2939971006 / 1
LCM(54214,54229) = 2939971006

Least Common Multiple (LCM) of 54214 and 54229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54214 and 54229. First we will calculate the prime factors of 54214 and 54229.

Prime Factorization of 54214

Prime Factorization of 54229

Now multiplying the highest exponent prime factors to calculate the LCM of 54214 and 54229.

LCM(54214,54229) = 2¹ × 27107¹ × 7¹ × 61¹ × 127¹
LCM(54214,54229) = 2939971006