What is the Least Common Multiple of 35643 and 35648?

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 35643 and 35648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35643 and 35648, than apply into the LCM equation.

GCF(35643,35648) = 1
LCM(35643,35648) = ( 35643 × 35648) / 1
LCM(35643,35648) = 1270601664 / 1
LCM(35643,35648) = 1270601664

Least Common Multiple (LCM) of 35643 and 35648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35643 and 35648. First we will calculate the prime factors of 35643 and 35648.

Prime Factorization of 35643

Prime Factorization of 35648

Now multiplying the highest exponent prime factors to calculate the LCM of 35643 and 35648.

LCM(35643,35648) = 3¹ × 109² × 2⁶ × 557¹
LCM(35643,35648) = 1270601664