What is the Least Common Multiple of 43540 and 43546?

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 43540 and 43546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43540 and 43546, than apply into the LCM equation.

GCF(43540,43546) = 2
LCM(43540,43546) = ( 43540 × 43546) / 2
LCM(43540,43546) = 1895992840 / 2
LCM(43540,43546) = 947996420

Least Common Multiple (LCM) of 43540 and 43546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43540 and 43546. First we will calculate the prime factors of 43540 and 43546.

Prime Factorization of 43540

Prime Factorization of 43546

Now multiplying the highest exponent prime factors to calculate the LCM of 43540 and 43546.

LCM(43540,43546) = 2² × 5¹ × 7¹ × 311¹ × 21773¹
LCM(43540,43546) = 947996420