What is the Least Common Multiple of 64106 and 64123?

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 64106 and 64123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64106 and 64123, than apply into the LCM equation.

GCF(64106,64123) = 1
LCM(64106,64123) = ( 64106 × 64123) / 1
LCM(64106,64123) = 4110669038 / 1
LCM(64106,64123) = 4110669038

Least Common Multiple (LCM) of 64106 and 64123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64106 and 64123. First we will calculate the prime factors of 64106 and 64123.

Prime Factorization of 64106

Prime Factorization of 64123

Now multiplying the highest exponent prime factors to calculate the LCM of 64106 and 64123.

LCM(64106,64123) = 2¹ × 7¹ × 19¹ × 241¹ × 64123¹
LCM(64106,64123) = 4110669038