What is the Least Common Multiple of 10374 and 10393?

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 10374 and 10393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10374 and 10393, than apply into the LCM equation.

GCF(10374,10393) = 19
LCM(10374,10393) = ( 10374 × 10393) / 19
LCM(10374,10393) = 107816982 / 19
LCM(10374,10393) = 5674578

Least Common Multiple (LCM) of 10374 and 10393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10374 and 10393. First we will calculate the prime factors of 10374 and 10393.

Prime Factorization of 10374

Prime Factorization of 10393

Now multiplying the highest exponent prime factors to calculate the LCM of 10374 and 10393.

LCM(10374,10393) = 2¹ × 3¹ × 7¹ × 13¹ × 19¹ × 547¹
LCM(10374,10393) = 5674578