What is the Least Common Multiple of 53888 and 53892?

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 53888 and 53892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53888 and 53892, than apply into the LCM equation.

GCF(53888,53892) = 4
LCM(53888,53892) = ( 53888 × 53892) / 4
LCM(53888,53892) = 2904132096 / 4
LCM(53888,53892) = 726033024

Least Common Multiple (LCM) of 53888 and 53892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53888 and 53892. First we will calculate the prime factors of 53888 and 53892.

Prime Factorization of 53888

Prime Factorization of 53892

Now multiplying the highest exponent prime factors to calculate the LCM of 53888 and 53892.

LCM(53888,53892) = 2⁷ × 421¹ × 3³ × 499¹
LCM(53888,53892) = 726033024