What is the Least Common Multiple of 54249 and 54262?

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 54249 and 54262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54249 and 54262, than apply into the LCM equation.

GCF(54249,54262) = 13
LCM(54249,54262) = ( 54249 × 54262) / 13
LCM(54249,54262) = 2943659238 / 13
LCM(54249,54262) = 226435326

Least Common Multiple (LCM) of 54249 and 54262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54249 and 54262. First we will calculate the prime factors of 54249 and 54262.

Prime Factorization of 54249

Prime Factorization of 54262

Now multiplying the highest exponent prime factors to calculate the LCM of 54249 and 54262.

LCM(54249,54262) = 3¹ × 13² × 107¹ × 2¹ × 2087¹
LCM(54249,54262) = 226435326