What is the Least Common Multiple of 66805 and 66820?

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 66805 and 66820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66805 and 66820, than apply into the LCM equation.

GCF(66805,66820) = 5
LCM(66805,66820) = ( 66805 × 66820) / 5
LCM(66805,66820) = 4463910100 / 5
LCM(66805,66820) = 892782020

Least Common Multiple (LCM) of 66805 and 66820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66805 and 66820. First we will calculate the prime factors of 66805 and 66820.

Prime Factorization of 66805

Prime Factorization of 66820

Now multiplying the highest exponent prime factors to calculate the LCM of 66805 and 66820.

LCM(66805,66820) = 5¹ × 31¹ × 431¹ × 2² × 13¹ × 257¹
LCM(66805,66820) = 892782020