What is the Least Common Multiple of 64110 and 64119?

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 64110 and 64119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64110 and 64119, than apply into the LCM equation.

GCF(64110,64119) = 3
LCM(64110,64119) = ( 64110 × 64119) / 3
LCM(64110,64119) = 4110669090 / 3
LCM(64110,64119) = 1370223030

Least Common Multiple (LCM) of 64110 and 64119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64110 and 64119. First we will calculate the prime factors of 64110 and 64119.

Prime Factorization of 64110

Prime Factorization of 64119

Now multiplying the highest exponent prime factors to calculate the LCM of 64110 and 64119.

LCM(64110,64119) = 2¹ × 3¹ × 5¹ × 2137¹ × 11¹ × 29¹ × 67¹
LCM(64110,64119) = 1370223030