What is the Least Common Multiple of 66744 and 66752?

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 66744 and 66752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66744 and 66752, than apply into the LCM equation.

GCF(66744,66752) = 8
LCM(66744,66752) = ( 66744 × 66752) / 8
LCM(66744,66752) = 4455295488 / 8
LCM(66744,66752) = 556911936

Least Common Multiple (LCM) of 66744 and 66752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66744 and 66752. First we will calculate the prime factors of 66744 and 66752.

Prime Factorization of 66744

Prime Factorization of 66752

Now multiplying the highest exponent prime factors to calculate the LCM of 66744 and 66752.

LCM(66744,66752) = 2⁶ × 3⁴ × 103¹ × 7¹ × 149¹
LCM(66744,66752) = 556911936