What is the Least Common Multiple of 66648 and 66668?

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 66648 and 66668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66648 and 66668, than apply into the LCM equation.

GCF(66648,66668) = 4
LCM(66648,66668) = ( 66648 × 66668) / 4
LCM(66648,66668) = 4443288864 / 4
LCM(66648,66668) = 1110822216

Least Common Multiple (LCM) of 66648 and 66668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66648 and 66668. First we will calculate the prime factors of 66648 and 66668.

Prime Factorization of 66648

Prime Factorization of 66668

Now multiplying the highest exponent prime factors to calculate the LCM of 66648 and 66668.

LCM(66648,66668) = 2³ × 3¹ × 2777¹ × 7¹ × 2381¹
LCM(66648,66668) = 1110822216