What is the Least Common Multiple of 53250 and 53258?

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 53250 and 53258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53250 and 53258, than apply into the LCM equation.

GCF(53250,53258) = 2
LCM(53250,53258) = ( 53250 × 53258) / 2
LCM(53250,53258) = 2835988500 / 2
LCM(53250,53258) = 1417994250

Least Common Multiple (LCM) of 53250 and 53258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53250 and 53258. First we will calculate the prime factors of 53250 and 53258.

Prime Factorization of 53250

Prime Factorization of 53258

Now multiplying the highest exponent prime factors to calculate the LCM of 53250 and 53258.

LCM(53250,53258) = 2¹ × 3¹ × 5³ × 71¹ × 31¹ × 859¹
LCM(53250,53258) = 1417994250