What is the Least Common Multiple of 23219 and 23237?

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 23219 and 23237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23219 and 23237, than apply into the LCM equation.

GCF(23219,23237) = 1
LCM(23219,23237) = ( 23219 × 23237) / 1
LCM(23219,23237) = 539539903 / 1
LCM(23219,23237) = 539539903

Least Common Multiple (LCM) of 23219 and 23237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23219 and 23237. First we will calculate the prime factors of 23219 and 23237.

Prime Factorization of 23219

Prime Factorization of 23237

Now multiplying the highest exponent prime factors to calculate the LCM of 23219 and 23237.

LCM(23219,23237) = 7¹ × 31¹ × 107¹ × 19¹ × 1223¹
LCM(23219,23237) = 539539903