What is the Least Common Multiple of 64890 and 64905?

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 64905 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 64905, than apply into the LCM equation.

GCF(64890,64905) = 15
LCM(64890,64905) = ( 64890 × 64905) / 15
LCM(64890,64905) = 4211685450 / 15
LCM(64890,64905) = 280779030

Least Common Multiple (LCM) of 64890 and 64905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64890 and 64905. First we will calculate the prime factors of 64890 and 64905.

Prime Factorization of 64890

Prime Factorization of 64905

Now multiplying the highest exponent prime factors to calculate the LCM of 64890 and 64905.

LCM(64890,64905) = 2¹ × 3² × 5¹ × 7¹ × 103¹ × 4327¹
LCM(64890,64905) = 280779030