What is the Least Common Multiple of 53110 and 53125?

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 53110 and 53125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53110 and 53125, than apply into the LCM equation.

GCF(53110,53125) = 5
LCM(53110,53125) = ( 53110 × 53125) / 5
LCM(53110,53125) = 2821468750 / 5
LCM(53110,53125) = 564293750

Least Common Multiple (LCM) of 53110 and 53125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53110 and 53125. First we will calculate the prime factors of 53110 and 53125.

Prime Factorization of 53110

Prime Factorization of 53125

Now multiplying the highest exponent prime factors to calculate the LCM of 53110 and 53125.

LCM(53110,53125) = 2¹ × 5⁵ × 47¹ × 113¹ × 17¹
LCM(53110,53125) = 564293750