What is the Least Common Multiple of 64890 and 64897?

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 64897 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 64897, than apply into the LCM equation.

GCF(64890,64897) = 7
LCM(64890,64897) = ( 64890 × 64897) / 7
LCM(64890,64897) = 4211166330 / 7
LCM(64890,64897) = 601595190

Least Common Multiple (LCM) of 64890 and 64897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64890 and 64897. First we will calculate the prime factors of 64890 and 64897.

Prime Factorization of 64890

Prime Factorization of 64897

Now multiplying the highest exponent prime factors to calculate the LCM of 64890 and 64897.

LCM(64890,64897) = 2¹ × 3² × 5¹ × 7¹ × 103¹ × 73¹ × 127¹
LCM(64890,64897) = 601595190