What is the Least Common Multiple of 43596 and 43613?

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 43596 and 43613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43596 and 43613, than apply into the LCM equation.

GCF(43596,43613) = 1
LCM(43596,43613) = ( 43596 × 43613) / 1
LCM(43596,43613) = 1901352348 / 1
LCM(43596,43613) = 1901352348

Least Common Multiple (LCM) of 43596 and 43613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43596 and 43613. First we will calculate the prime factors of 43596 and 43613.

Prime Factorization of 43596

Prime Factorization of 43613

Now multiplying the highest exponent prime factors to calculate the LCM of 43596 and 43613.

LCM(43596,43613) = 2² × 3² × 7¹ × 173¹ × 43613¹
LCM(43596,43613) = 1901352348