What is the Least Common Multiple of 43478 and 43483?

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 43478 and 43483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43478 and 43483, than apply into the LCM equation.

GCF(43478,43483) = 1
LCM(43478,43483) = ( 43478 × 43483) / 1
LCM(43478,43483) = 1890553874 / 1
LCM(43478,43483) = 1890553874

Least Common Multiple (LCM) of 43478 and 43483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43478 and 43483. First we will calculate the prime factors of 43478 and 43483.

Prime Factorization of 43478

Prime Factorization of 43483

Now multiplying the highest exponent prime factors to calculate the LCM of 43478 and 43483.

LCM(43478,43483) = 2¹ × 21739¹ × 11¹ × 59¹ × 67¹
LCM(43478,43483) = 1890553874