What is the Least Common Multiple of 43472 and 43492?

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 43472 and 43492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43472 and 43492, than apply into the LCM equation.

GCF(43472,43492) = 4
LCM(43472,43492) = ( 43472 × 43492) / 4
LCM(43472,43492) = 1890684224 / 4
LCM(43472,43492) = 472671056

Least Common Multiple (LCM) of 43472 and 43492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43472 and 43492. First we will calculate the prime factors of 43472 and 43492.

Prime Factorization of 43472

Prime Factorization of 43492

Now multiplying the highest exponent prime factors to calculate the LCM of 43472 and 43492.

LCM(43472,43492) = 2⁴ × 11¹ × 13¹ × 19¹ × 83¹ × 131¹
LCM(43472,43492) = 472671056