What is the Least Common Multiple of 45914 and 45933?

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 45914 and 45933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45914 and 45933, than apply into the LCM equation.

GCF(45914,45933) = 1
LCM(45914,45933) = ( 45914 × 45933) / 1
LCM(45914,45933) = 2108967762 / 1
LCM(45914,45933) = 2108967762

Least Common Multiple (LCM) of 45914 and 45933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45914 and 45933. First we will calculate the prime factors of 45914 and 45933.

Prime Factorization of 45914

Prime Factorization of 45933

Now multiplying the highest exponent prime factors to calculate the LCM of 45914 and 45933.

LCM(45914,45933) = 2¹ × 11¹ × 2087¹ × 3¹ × 61¹ × 251¹
LCM(45914,45933) = 2108967762