What is the Least Common Multiple of 10368 and 10374?

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 10368 and 10374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10368 and 10374, than apply into the LCM equation.

GCF(10368,10374) = 6
LCM(10368,10374) = ( 10368 × 10374) / 6
LCM(10368,10374) = 107557632 / 6
LCM(10368,10374) = 17926272

Least Common Multiple (LCM) of 10368 and 10374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10368 and 10374. First we will calculate the prime factors of 10368 and 10374.

Prime Factorization of 10368

Prime Factorization of 10374

Now multiplying the highest exponent prime factors to calculate the LCM of 10368 and 10374.

LCM(10368,10374) = 2⁷ × 3⁴ × 7¹ × 13¹ × 19¹
LCM(10368,10374) = 17926272