What is the Least Common Multiple of 66912 and 66920?

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 66912 and 66920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66912 and 66920, than apply into the LCM equation.

GCF(66912,66920) = 8
LCM(66912,66920) = ( 66912 × 66920) / 8
LCM(66912,66920) = 4477751040 / 8
LCM(66912,66920) = 559718880

Least Common Multiple (LCM) of 66912 and 66920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66912 and 66920. First we will calculate the prime factors of 66912 and 66920.

Prime Factorization of 66912

Prime Factorization of 66920

Now multiplying the highest exponent prime factors to calculate the LCM of 66912 and 66920.

LCM(66912,66920) = 2⁵ × 3¹ × 17¹ × 41¹ × 5¹ × 7¹ × 239¹
LCM(66912,66920) = 559718880