What is the Least Common Multiple of 5920 and 5938?

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 5920 and 5938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5920 and 5938, than apply into the LCM equation.

GCF(5920,5938) = 2
LCM(5920,5938) = ( 5920 × 5938) / 2
LCM(5920,5938) = 35152960 / 2
LCM(5920,5938) = 17576480

Least Common Multiple (LCM) of 5920 and 5938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5938. First we will calculate the prime factors of 5920 and 5938.

Prime Factorization of 5920

Prime Factorization of 5938

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5938.

LCM(5920,5938) = 2⁵ × 5¹ × 37¹ × 2969¹
LCM(5920,5938) = 17576480