What is the Least Common Multiple of 64890 and 64895?

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 64895 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 64895, than apply into the LCM equation.

GCF(64890,64895) = 5
LCM(64890,64895) = ( 64890 × 64895) / 5
LCM(64890,64895) = 4211036550 / 5
LCM(64890,64895) = 842207310

Least Common Multiple (LCM) of 64890 and 64895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64890 and 64895. First we will calculate the prime factors of 64890 and 64895.

Prime Factorization of 64890

Prime Factorization of 64895

Now multiplying the highest exponent prime factors to calculate the LCM of 64890 and 64895.

LCM(64890,64895) = 2¹ × 3² × 5¹ × 7¹ × 103¹ × 12979¹
LCM(64890,64895) = 842207310