What is the Least Common Multiple of 66743 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 66743 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 66743 and 66752, than apply into the LCM equation.

GCF(66743,66752) = 1
LCM(66743,66752) = ( 66743 × 66752) / 1
LCM(66743,66752) = 4455228736 / 1
LCM(66743,66752) = 4455228736

Least Common Multiple (LCM) of 66743 and 66752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66743 and 66752. First we will calculate the prime factors of 66743 and 66752.

Prime Factorization of 66743

Prime Factorization of 66752

Now multiplying the highest exponent prime factors to calculate the LCM of 66743 and 66752.

LCM(66743,66752) = 31¹ × 2153¹ × 2⁶ × 7¹ × 149¹
LCM(66743,66752) = 4455228736