What is the Least Common Multiple of 53249 and 53263?

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 53249 and 53263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53249 and 53263, than apply into the LCM equation.

GCF(53249,53263) = 7
LCM(53249,53263) = ( 53249 × 53263) / 7
LCM(53249,53263) = 2836201487 / 7
LCM(53249,53263) = 405171641

Least Common Multiple (LCM) of 53249 and 53263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53249 and 53263. First we will calculate the prime factors of 53249 and 53263.

Prime Factorization of 53249

Prime Factorization of 53263

Now multiplying the highest exponent prime factors to calculate the LCM of 53249 and 53263.

LCM(53249,53263) = 7² × 7607¹ × 1087¹
LCM(53249,53263) = 405171641