What is the Least Common Multiple of 45933 and 45948?

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 45933 and 45948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45933 and 45948, than apply into the LCM equation.

GCF(45933,45948) = 3
LCM(45933,45948) = ( 45933 × 45948) / 3
LCM(45933,45948) = 2110529484 / 3
LCM(45933,45948) = 703509828

Least Common Multiple (LCM) of 45933 and 45948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45933 and 45948. First we will calculate the prime factors of 45933 and 45948.

Prime Factorization of 45933

Prime Factorization of 45948

Now multiplying the highest exponent prime factors to calculate the LCM of 45933 and 45948.

LCM(45933,45948) = 3¹ × 61¹ × 251¹ × 2² × 7¹ × 547¹
LCM(45933,45948) = 703509828