What is the Least Common Multiple of 10374 and 10384?

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 10384 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 10384, than apply into the LCM equation.

GCF(10374,10384) = 2
LCM(10374,10384) = ( 10374 × 10384) / 2
LCM(10374,10384) = 107723616 / 2
LCM(10374,10384) = 53861808

Least Common Multiple (LCM) of 10374 and 10384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10374 and 10384. First we will calculate the prime factors of 10374 and 10384.

Prime Factorization of 10374

Prime Factorization of 10384

Now multiplying the highest exponent prime factors to calculate the LCM of 10374 and 10384.

LCM(10374,10384) = 2⁴ × 3¹ × 7¹ × 13¹ × 19¹ × 11¹ × 59¹
LCM(10374,10384) = 53861808