What is the Least Common Multiple of 66240 and 66249?

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 66240 and 66249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66240 and 66249, than apply into the LCM equation.

GCF(66240,66249) = 9
LCM(66240,66249) = ( 66240 × 66249) / 9
LCM(66240,66249) = 4388333760 / 9
LCM(66240,66249) = 487592640

Least Common Multiple (LCM) of 66240 and 66249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66240 and 66249. First we will calculate the prime factors of 66240 and 66249.

Prime Factorization of 66240

Prime Factorization of 66249

Now multiplying the highest exponent prime factors to calculate the LCM of 66240 and 66249.

LCM(66240,66249) = 2⁶ × 3² × 5¹ × 23¹ × 17¹ × 433¹
LCM(66240,66249) = 487592640