What is the Least Common Multiple of 66678 and 66688?

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 66678 and 66688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66678 and 66688, than apply into the LCM equation.

GCF(66678,66688) = 2
LCM(66678,66688) = ( 66678 × 66688) / 2
LCM(66678,66688) = 4446622464 / 2
LCM(66678,66688) = 2223311232

Least Common Multiple (LCM) of 66678 and 66688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66678 and 66688. First we will calculate the prime factors of 66678 and 66688.

Prime Factorization of 66678

Prime Factorization of 66688

Now multiplying the highest exponent prime factors to calculate the LCM of 66678 and 66688.

LCM(66678,66688) = 2⁷ × 3¹ × 11113¹ × 521¹
LCM(66678,66688) = 2223311232