What is the Least Common Multiple of 66192 and 66206?

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 66192 and 66206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66192 and 66206, than apply into the LCM equation.

GCF(66192,66206) = 14
LCM(66192,66206) = ( 66192 × 66206) / 14
LCM(66192,66206) = 4382307552 / 14
LCM(66192,66206) = 313021968

Least Common Multiple (LCM) of 66192 and 66206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66192 and 66206. First we will calculate the prime factors of 66192 and 66206.

Prime Factorization of 66192

Prime Factorization of 66206

Now multiplying the highest exponent prime factors to calculate the LCM of 66192 and 66206.

LCM(66192,66206) = 2⁴ × 3¹ × 7¹ × 197¹ × 4729¹
LCM(66192,66206) = 313021968