What is the Least Common Multiple of 64623 and 64643?

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 64643 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 64643, than apply into the LCM equation.

GCF(64623,64643) = 1
LCM(64623,64643) = ( 64623 × 64643) / 1
LCM(64623,64643) = 4177424589 / 1
LCM(64623,64643) = 4177424589

Least Common Multiple (LCM) of 64623 and 64643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64623 and 64643. First we will calculate the prime factors of 64623 and 64643.

Prime Factorization of 64623

Prime Factorization of 64643

Now multiplying the highest exponent prime factors to calculate the LCM of 64623 and 64643.

LCM(64623,64643) = 3¹ × 13¹ × 1657¹ × 127¹ × 509¹
LCM(64623,64643) = 4177424589