What is the Least Common Multiple of 43628 and 43637?

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 43637 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 43637, than apply into the LCM equation.

GCF(43628,43637) = 1
LCM(43628,43637) = ( 43628 × 43637) / 1
LCM(43628,43637) = 1903795036 / 1
LCM(43628,43637) = 1903795036

Least Common Multiple (LCM) of 43628 and 43637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43628 and 43637. First we will calculate the prime factors of 43628 and 43637.

Prime Factorization of 43628

Prime Factorization of 43637

Now multiplying the highest exponent prime factors to calculate the LCM of 43628 and 43637.

LCM(43628,43637) = 2² × 13¹ × 839¹ × 11¹ × 3967¹
LCM(43628,43637) = 1903795036