What is the Least Common Multiple of 23214 and 23219?

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 23214 and 23219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23214 and 23219, than apply into the LCM equation.

GCF(23214,23219) = 1
LCM(23214,23219) = ( 23214 × 23219) / 1
LCM(23214,23219) = 539005866 / 1
LCM(23214,23219) = 539005866

Least Common Multiple (LCM) of 23214 and 23219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23214 and 23219. First we will calculate the prime factors of 23214 and 23219.

Prime Factorization of 23214

Prime Factorization of 23219

Now multiplying the highest exponent prime factors to calculate the LCM of 23214 and 23219.

LCM(23214,23219) = 2¹ × 3¹ × 53¹ × 73¹ × 7¹ × 31¹ × 107¹
LCM(23214,23219) = 539005866