What is the Least Common Multiple of 66566 and 66576?

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 66566 and 66576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66566 and 66576, than apply into the LCM equation.

GCF(66566,66576) = 2
LCM(66566,66576) = ( 66566 × 66576) / 2
LCM(66566,66576) = 4431698016 / 2
LCM(66566,66576) = 2215849008

Least Common Multiple (LCM) of 66566 and 66576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66566 and 66576. First we will calculate the prime factors of 66566 and 66576.

Prime Factorization of 66566

Prime Factorization of 66576

Now multiplying the highest exponent prime factors to calculate the LCM of 66566 and 66576.

LCM(66566,66576) = 2⁴ × 83¹ × 401¹ × 3¹ × 19¹ × 73¹
LCM(66566,66576) = 2215849008