What is the Least Common Multiple of 53808 and 53814?

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 53808 and 53814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53808 and 53814, than apply into the LCM equation.

GCF(53808,53814) = 6
LCM(53808,53814) = ( 53808 × 53814) / 6
LCM(53808,53814) = 2895623712 / 6
LCM(53808,53814) = 482603952

Least Common Multiple (LCM) of 53808 and 53814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53808 and 53814. First we will calculate the prime factors of 53808 and 53814.

Prime Factorization of 53808

Prime Factorization of 53814

Now multiplying the highest exponent prime factors to calculate the LCM of 53808 and 53814.

LCM(53808,53814) = 2⁴ × 3¹ × 19¹ × 59¹ × 8969¹
LCM(53808,53814) = 482603952