What is the Least Common Multiple of 66419 and 66423?

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 66419 and 66423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66419 and 66423, than apply into the LCM equation.

GCF(66419,66423) = 1
LCM(66419,66423) = ( 66419 × 66423) / 1
LCM(66419,66423) = 4411749237 / 1
LCM(66419,66423) = 4411749237

Least Common Multiple (LCM) of 66419 and 66423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66419 and 66423. First we will calculate the prime factors of 66419 and 66423.

Prime Factorization of 66419

Prime Factorization of 66423

Now multiplying the highest exponent prime factors to calculate the LCM of 66419 and 66423.

LCM(66419,66423) = 17¹ × 3907¹ × 3¹ × 7¹ × 3163¹
LCM(66419,66423) = 4411749237