What is the Least Common Multiple of 53238 and 53249?

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 53238 and 53249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53238 and 53249, than apply into the LCM equation.

GCF(53238,53249) = 1
LCM(53238,53249) = ( 53238 × 53249) / 1
LCM(53238,53249) = 2834870262 / 1
LCM(53238,53249) = 2834870262

Least Common Multiple (LCM) of 53238 and 53249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53238 and 53249. First we will calculate the prime factors of 53238 and 53249.

Prime Factorization of 53238

Prime Factorization of 53249

Now multiplying the highest exponent prime factors to calculate the LCM of 53238 and 53249.

LCM(53238,53249) = 2¹ × 3¹ × 19¹ × 467¹ × 7¹ × 7607¹
LCM(53238,53249) = 2834870262