What is the Least Common Multiple of 66642 and 66662?

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 66642 and 66662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66642 and 66662, than apply into the LCM equation.

GCF(66642,66662) = 2
LCM(66642,66662) = ( 66642 × 66662) / 2
LCM(66642,66662) = 4442489004 / 2
LCM(66642,66662) = 2221244502

Least Common Multiple (LCM) of 66642 and 66662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66642 and 66662. First we will calculate the prime factors of 66642 and 66662.

Prime Factorization of 66642

Prime Factorization of 66662

Now multiplying the highest exponent prime factors to calculate the LCM of 66642 and 66662.

LCM(66642,66662) = 2¹ × 3¹ × 29¹ × 383¹ × 33331¹
LCM(66642,66662) = 2221244502