What is the Least Common Multiple of 66606 and 66623?

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 66606 and 66623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66606 and 66623, than apply into the LCM equation.

GCF(66606,66623) = 17
LCM(66606,66623) = ( 66606 × 66623) / 17
LCM(66606,66623) = 4437491538 / 17
LCM(66606,66623) = 261028914

Least Common Multiple (LCM) of 66606 and 66623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66606 and 66623. First we will calculate the prime factors of 66606 and 66623.

Prime Factorization of 66606

Prime Factorization of 66623

Now multiplying the highest exponent prime factors to calculate the LCM of 66606 and 66623.

LCM(66606,66623) = 2¹ × 3¹ × 17¹ × 653¹ × 3919¹
LCM(66606,66623) = 261028914