What is the Least Common Multiple of 66645 and 66661?

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 66645 and 66661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66645 and 66661, than apply into the LCM equation.

GCF(66645,66661) = 1
LCM(66645,66661) = ( 66645 × 66661) / 1
LCM(66645,66661) = 4442622345 / 1
LCM(66645,66661) = 4442622345

Least Common Multiple (LCM) of 66645 and 66661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66645 and 66661. First we will calculate the prime factors of 66645 and 66661.

Prime Factorization of 66645

Prime Factorization of 66661

Now multiplying the highest exponent prime factors to calculate the LCM of 66645 and 66661.

LCM(66645,66661) = 3² × 5¹ × 1481¹ × 7¹ × 89¹ × 107¹
LCM(66645,66661) = 4442622345