What is the Least Common Multiple of 37443 and 37457?

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 37443 and 37457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37443 and 37457, than apply into the LCM equation.

GCF(37443,37457) = 7
LCM(37443,37457) = ( 37443 × 37457) / 7
LCM(37443,37457) = 1402502451 / 7
LCM(37443,37457) = 200357493

Least Common Multiple (LCM) of 37443 and 37457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37443 and 37457. First we will calculate the prime factors of 37443 and 37457.

Prime Factorization of 37443

Prime Factorization of 37457

Now multiplying the highest exponent prime factors to calculate the LCM of 37443 and 37457.

LCM(37443,37457) = 3¹ × 7¹ × 1783¹ × 5351¹
LCM(37443,37457) = 200357493