What is the Least Common Multiple of 64230 and 64248?

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 64230 and 64248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64230 and 64248, than apply into the LCM equation.

GCF(64230,64248) = 6
LCM(64230,64248) = ( 64230 × 64248) / 6
LCM(64230,64248) = 4126649040 / 6
LCM(64230,64248) = 687774840

Least Common Multiple (LCM) of 64230 and 64248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64230 and 64248. First we will calculate the prime factors of 64230 and 64248.

Prime Factorization of 64230

Prime Factorization of 64248

Now multiplying the highest exponent prime factors to calculate the LCM of 64230 and 64248.

LCM(64230,64248) = 2³ × 3¹ × 5¹ × 2141¹ × 2677¹
LCM(64230,64248) = 687774840