What is the Least Common Multiple of 53872 and 53880?

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 53872 and 53880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53872 and 53880, than apply into the LCM equation.

GCF(53872,53880) = 8
LCM(53872,53880) = ( 53872 × 53880) / 8
LCM(53872,53880) = 2902623360 / 8
LCM(53872,53880) = 362827920

Least Common Multiple (LCM) of 53872 and 53880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53872 and 53880. First we will calculate the prime factors of 53872 and 53880.

Prime Factorization of 53872

Prime Factorization of 53880

Now multiplying the highest exponent prime factors to calculate the LCM of 53872 and 53880.

LCM(53872,53880) = 2⁴ × 7¹ × 13¹ × 37¹ × 3¹ × 5¹ × 449¹
LCM(53872,53880) = 362827920