What is the Least Common Multiple of 66419 and 66436?

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 66436 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 66436, than apply into the LCM equation.

GCF(66419,66436) = 17
LCM(66419,66436) = ( 66419 × 66436) / 17
LCM(66419,66436) = 4412612684 / 17
LCM(66419,66436) = 259565452

Least Common Multiple (LCM) of 66419 and 66436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66419 and 66436. First we will calculate the prime factors of 66419 and 66436.

Prime Factorization of 66419

Prime Factorization of 66436

Now multiplying the highest exponent prime factors to calculate the LCM of 66419 and 66436.

LCM(66419,66436) = 17¹ × 3907¹ × 2² × 977¹
LCM(66419,66436) = 259565452