What is the Least Common Multiple of 66875 and 66880?

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 66875 and 66880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66875 and 66880, than apply into the LCM equation.

GCF(66875,66880) = 5
LCM(66875,66880) = ( 66875 × 66880) / 5
LCM(66875,66880) = 4472600000 / 5
LCM(66875,66880) = 894520000

Least Common Multiple (LCM) of 66875 and 66880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66875 and 66880. First we will calculate the prime factors of 66875 and 66880.

Prime Factorization of 66875

Prime Factorization of 66880

Now multiplying the highest exponent prime factors to calculate the LCM of 66875 and 66880.

LCM(66875,66880) = 5⁴ × 107¹ × 2⁶ × 11¹ × 19¹
LCM(66875,66880) = 894520000