What is the Least Common Multiple of 64623 and 64638?

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 64623 and 64638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64623 and 64638, than apply into the LCM equation.

GCF(64623,64638) = 3
LCM(64623,64638) = ( 64623 × 64638) / 3
LCM(64623,64638) = 4177101474 / 3
LCM(64623,64638) = 1392367158

Least Common Multiple (LCM) of 64623 and 64638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64623 and 64638. First we will calculate the prime factors of 64623 and 64638.

Prime Factorization of 64623

Prime Factorization of 64638

Now multiplying the highest exponent prime factors to calculate the LCM of 64623 and 64638.

LCM(64623,64638) = 3⁵ × 13¹ × 1657¹ × 2¹ × 7¹ × 19¹
LCM(64623,64638) = 1392367158