What is the Least Common Multiple of 33938 and 33945?

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 33938 and 33945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33938 and 33945, than apply into the LCM equation.

GCF(33938,33945) = 1
LCM(33938,33945) = ( 33938 × 33945) / 1
LCM(33938,33945) = 1152025410 / 1
LCM(33938,33945) = 1152025410

Least Common Multiple (LCM) of 33938 and 33945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33938 and 33945. First we will calculate the prime factors of 33938 and 33945.

Prime Factorization of 33938

Prime Factorization of 33945

Now multiplying the highest exponent prime factors to calculate the LCM of 33938 and 33945.

LCM(33938,33945) = 2¹ × 71¹ × 239¹ × 3¹ × 5¹ × 31¹ × 73¹
LCM(33938,33945) = 1152025410