What is the Least Common Multiple of 43516 and 43534?

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 43516 and 43534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43516 and 43534, than apply into the LCM equation.

GCF(43516,43534) = 2
LCM(43516,43534) = ( 43516 × 43534) / 2
LCM(43516,43534) = 1894425544 / 2
LCM(43516,43534) = 947212772

Least Common Multiple (LCM) of 43516 and 43534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43516 and 43534. First we will calculate the prime factors of 43516 and 43534.

Prime Factorization of 43516

Prime Factorization of 43534

Now multiplying the highest exponent prime factors to calculate the LCM of 43516 and 43534.

LCM(43516,43534) = 2² × 11¹ × 23¹ × 43¹ × 21767¹
LCM(43516,43534) = 947212772