What is the Least Common Multiple of 65190 and 65200?

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 65190 and 65200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65190 and 65200, than apply into the LCM equation.

GCF(65190,65200) = 10
LCM(65190,65200) = ( 65190 × 65200) / 10
LCM(65190,65200) = 4250388000 / 10
LCM(65190,65200) = 425038800

Least Common Multiple (LCM) of 65190 and 65200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65190 and 65200. First we will calculate the prime factors of 65190 and 65200.

Prime Factorization of 65190

Prime Factorization of 65200

Now multiplying the highest exponent prime factors to calculate the LCM of 65190 and 65200.

LCM(65190,65200) = 2⁴ × 3¹ × 5² × 41¹ × 53¹ × 163¹
LCM(65190,65200) = 425038800