What is the Least Common Multiple of 53262 and 53269?

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 53262 and 53269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53262 and 53269, than apply into the LCM equation.

GCF(53262,53269) = 1
LCM(53262,53269) = ( 53262 × 53269) / 1
LCM(53262,53269) = 2837213478 / 1
LCM(53262,53269) = 2837213478

Least Common Multiple (LCM) of 53262 and 53269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53262 and 53269. First we will calculate the prime factors of 53262 and 53269.

Prime Factorization of 53262

Prime Factorization of 53269

Now multiplying the highest exponent prime factors to calculate the LCM of 53262 and 53269.

LCM(53262,53269) = 2¹ × 3² × 11¹ × 269¹ × 53269¹
LCM(53262,53269) = 2837213478