What is the Least Common Multiple of 65900 and 65920?

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 65900 and 65920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65900 and 65920, than apply into the LCM equation.

GCF(65900,65920) = 20
LCM(65900,65920) = ( 65900 × 65920) / 20
LCM(65900,65920) = 4344128000 / 20
LCM(65900,65920) = 217206400

Least Common Multiple (LCM) of 65900 and 65920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65900 and 65920. First we will calculate the prime factors of 65900 and 65920.

Prime Factorization of 65900

Prime Factorization of 65920

Now multiplying the highest exponent prime factors to calculate the LCM of 65900 and 65920.

LCM(65900,65920) = 2⁷ × 5² × 659¹ × 103¹
LCM(65900,65920) = 217206400