What is the Least Common Multiple of 45933 and 45952?

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 45952 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 45952, than apply into the LCM equation.

GCF(45933,45952) = 1
LCM(45933,45952) = ( 45933 × 45952) / 1
LCM(45933,45952) = 2110713216 / 1
LCM(45933,45952) = 2110713216

Least Common Multiple (LCM) of 45933 and 45952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45933 and 45952. First we will calculate the prime factors of 45933 and 45952.

Prime Factorization of 45933

Prime Factorization of 45952

Now multiplying the highest exponent prime factors to calculate the LCM of 45933 and 45952.

LCM(45933,45952) = 3¹ × 61¹ × 251¹ × 2⁷ × 359¹
LCM(45933,45952) = 2110713216