What is the Least Common Multiple of 45234 and 45249?

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 45234 and 45249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45234 and 45249, than apply into the LCM equation.

GCF(45234,45249) = 3
LCM(45234,45249) = ( 45234 × 45249) / 3
LCM(45234,45249) = 2046793266 / 3
LCM(45234,45249) = 682264422

Least Common Multiple (LCM) of 45234 and 45249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45234 and 45249. First we will calculate the prime factors of 45234 and 45249.

Prime Factorization of 45234

Prime Factorization of 45249

Now multiplying the highest exponent prime factors to calculate the LCM of 45234 and 45249.

LCM(45234,45249) = 2¹ × 3² × 7¹ × 359¹ × 15083¹
LCM(45234,45249) = 682264422