What is the Least Common Multiple of 33531 and 33551?

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 33531 and 33551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33531 and 33551, than apply into the LCM equation.

GCF(33531,33551) = 1
LCM(33531,33551) = ( 33531 × 33551) / 1
LCM(33531,33551) = 1124998581 / 1
LCM(33531,33551) = 1124998581

Least Common Multiple (LCM) of 33531 and 33551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33531 and 33551. First we will calculate the prime factors of 33531 and 33551.

Prime Factorization of 33531

Prime Factorization of 33551

Now multiplying the highest exponent prime factors to calculate the LCM of 33531 and 33551.

LCM(33531,33551) = 3¹ × 11177¹ × 7¹ × 4793¹
LCM(33531,33551) = 1124998581