What is the Least Common Multiple of 43376 and 43390?

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 43376 and 43390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43376 and 43390, than apply into the LCM equation.

GCF(43376,43390) = 2
LCM(43376,43390) = ( 43376 × 43390) / 2
LCM(43376,43390) = 1882084640 / 2
LCM(43376,43390) = 941042320

Least Common Multiple (LCM) of 43376 and 43390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43376 and 43390. First we will calculate the prime factors of 43376 and 43390.

Prime Factorization of 43376

Prime Factorization of 43390

Now multiplying the highest exponent prime factors to calculate the LCM of 43376 and 43390.

LCM(43376,43390) = 2⁴ × 2711¹ × 5¹ × 4339¹
LCM(43376,43390) = 941042320