What is the Least Common Multiple of 65920 and 65940?

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 65920 and 65940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65920 and 65940, than apply into the LCM equation.

GCF(65920,65940) = 20
LCM(65920,65940) = ( 65920 × 65940) / 20
LCM(65920,65940) = 4346764800 / 20
LCM(65920,65940) = 217338240

Least Common Multiple (LCM) of 65920 and 65940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65920 and 65940. First we will calculate the prime factors of 65920 and 65940.

Prime Factorization of 65920

Prime Factorization of 65940

Now multiplying the highest exponent prime factors to calculate the LCM of 65920 and 65940.

LCM(65920,65940) = 2⁷ × 5¹ × 103¹ × 3¹ × 7¹ × 157¹
LCM(65920,65940) = 217338240