What is the Least Common Multiple of 10374 and 10391?

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 10391 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 10391, than apply into the LCM equation.

GCF(10374,10391) = 1
LCM(10374,10391) = ( 10374 × 10391) / 1
LCM(10374,10391) = 107796234 / 1
LCM(10374,10391) = 107796234

Least Common Multiple (LCM) of 10374 and 10391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10374 and 10391. First we will calculate the prime factors of 10374 and 10391.

Prime Factorization of 10374

Prime Factorization of 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 10374 and 10391.

LCM(10374,10391) = 2¹ × 3¹ × 7¹ × 13¹ × 19¹ × 10391¹
LCM(10374,10391) = 107796234