What is the Least Common Multiple of 52032 and 52046?

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 52032 and 52046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52032 and 52046, than apply into the LCM equation.

GCF(52032,52046) = 2
LCM(52032,52046) = ( 52032 × 52046) / 2
LCM(52032,52046) = 2708057472 / 2
LCM(52032,52046) = 1354028736

Least Common Multiple (LCM) of 52032 and 52046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52032 and 52046. First we will calculate the prime factors of 52032 and 52046.

Prime Factorization of 52032

Prime Factorization of 52046

Now multiplying the highest exponent prime factors to calculate the LCM of 52032 and 52046.

LCM(52032,52046) = 2⁶ × 3¹ × 271¹ × 53¹ × 491¹
LCM(52032,52046) = 1354028736