What is the Least Common Multiple of 66638 and 66649?

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 66638 and 66649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66638 and 66649, than apply into the LCM equation.

GCF(66638,66649) = 11
LCM(66638,66649) = ( 66638 × 66649) / 11
LCM(66638,66649) = 4441356062 / 11
LCM(66638,66649) = 403759642

Least Common Multiple (LCM) of 66638 and 66649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66638 and 66649. First we will calculate the prime factors of 66638 and 66649.

Prime Factorization of 66638

Prime Factorization of 66649

Now multiplying the highest exponent prime factors to calculate the LCM of 66638 and 66649.

LCM(66638,66649) = 2¹ × 11¹ × 13¹ × 233¹ × 73¹ × 83¹
LCM(66638,66649) = 403759642