What is the Least Common Multiple of 33920 and 33938?

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 33920 and 33938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33920 and 33938, than apply into the LCM equation.

GCF(33920,33938) = 2
LCM(33920,33938) = ( 33920 × 33938) / 2
LCM(33920,33938) = 1151176960 / 2
LCM(33920,33938) = 575588480

Least Common Multiple (LCM) of 33920 and 33938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33920 and 33938. First we will calculate the prime factors of 33920 and 33938.

Prime Factorization of 33920

Prime Factorization of 33938

Now multiplying the highest exponent prime factors to calculate the LCM of 33920 and 33938.

LCM(33920,33938) = 2⁷ × 5¹ × 53¹ × 71¹ × 239¹
LCM(33920,33938) = 575588480