What is the Least Common Multiple of 53190 and 53200?

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 53190 and 53200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53190 and 53200, than apply into the LCM equation.

GCF(53190,53200) = 10
LCM(53190,53200) = ( 53190 × 53200) / 10
LCM(53190,53200) = 2829708000 / 10
LCM(53190,53200) = 282970800

Least Common Multiple (LCM) of 53190 and 53200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53190 and 53200. First we will calculate the prime factors of 53190 and 53200.

Prime Factorization of 53190

Prime Factorization of 53200

Now multiplying the highest exponent prime factors to calculate the LCM of 53190 and 53200.

LCM(53190,53200) = 2⁴ × 3³ × 5² × 197¹ × 7¹ × 19¹
LCM(53190,53200) = 282970800