What is the Least Common Multiple of 43628 and 43648?

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 43628 and 43648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43628 and 43648, than apply into the LCM equation.

GCF(43628,43648) = 4
LCM(43628,43648) = ( 43628 × 43648) / 4
LCM(43628,43648) = 1904274944 / 4
LCM(43628,43648) = 476068736

Least Common Multiple (LCM) of 43628 and 43648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43628 and 43648. First we will calculate the prime factors of 43628 and 43648.

Prime Factorization of 43628

Prime Factorization of 43648

Now multiplying the highest exponent prime factors to calculate the LCM of 43628 and 43648.

LCM(43628,43648) = 2⁷ × 13¹ × 839¹ × 11¹ × 31¹
LCM(43628,43648) = 476068736