What is the Least Common Multiple of 53789 and 53808?

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 53789 and 53808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53789 and 53808, than apply into the LCM equation.

GCF(53789,53808) = 19
LCM(53789,53808) = ( 53789 × 53808) / 19
LCM(53789,53808) = 2894278512 / 19
LCM(53789,53808) = 152330448

Least Common Multiple (LCM) of 53789 and 53808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53789 and 53808. First we will calculate the prime factors of 53789 and 53808.

Prime Factorization of 53789

Prime Factorization of 53808

Now multiplying the highest exponent prime factors to calculate the LCM of 53789 and 53808.

LCM(53789,53808) = 19² × 149¹ × 2⁴ × 3¹ × 59¹
LCM(53789,53808) = 152330448