What is the Least Common Multiple of 43419 and 43430?

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 43419 and 43430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43419 and 43430, than apply into the LCM equation.

GCF(43419,43430) = 1
LCM(43419,43430) = ( 43419 × 43430) / 1
LCM(43419,43430) = 1885687170 / 1
LCM(43419,43430) = 1885687170

Least Common Multiple (LCM) of 43419 and 43430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43419 and 43430. First we will calculate the prime factors of 43419 and 43430.

Prime Factorization of 43419

Prime Factorization of 43430

Now multiplying the highest exponent prime factors to calculate the LCM of 43419 and 43430.

LCM(43419,43430) = 3¹ × 41¹ × 353¹ × 2¹ × 5¹ × 43¹ × 101¹
LCM(43419,43430) = 1885687170