What is the Least Common Multiple of 64890 and 64908?

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 64890 and 64908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64890 and 64908, than apply into the LCM equation.

GCF(64890,64908) = 18
LCM(64890,64908) = ( 64890 × 64908) / 18
LCM(64890,64908) = 4211880120 / 18
LCM(64890,64908) = 233993340

Least Common Multiple (LCM) of 64890 and 64908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64890 and 64908. First we will calculate the prime factors of 64890 and 64908.

Prime Factorization of 64890

Prime Factorization of 64908

Now multiplying the highest exponent prime factors to calculate the LCM of 64890 and 64908.

LCM(64890,64908) = 2² × 3³ × 5¹ × 7¹ × 103¹ × 601¹
LCM(64890,64908) = 233993340