What is the Least Common Multiple of 64470 and 64484?

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 64470 and 64484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64470 and 64484, than apply into the LCM equation.

GCF(64470,64484) = 14
LCM(64470,64484) = ( 64470 × 64484) / 14
LCM(64470,64484) = 4157283480 / 14
LCM(64470,64484) = 296948820

Least Common Multiple (LCM) of 64470 and 64484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64470 and 64484. First we will calculate the prime factors of 64470 and 64484.

Prime Factorization of 64470

Prime Factorization of 64484

Now multiplying the highest exponent prime factors to calculate the LCM of 64470 and 64484.

LCM(64470,64484) = 2² × 3¹ × 5¹ × 7³ × 307¹ × 47¹
LCM(64470,64484) = 296948820