What is the Least Common Multiple of 64470 and 64481?

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 64481 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 64481, than apply into the LCM equation.

GCF(64470,64481) = 1
LCM(64470,64481) = ( 64470 × 64481) / 1
LCM(64470,64481) = 4157090070 / 1
LCM(64470,64481) = 4157090070

Least Common Multiple (LCM) of 64470 and 64481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64470 and 64481. First we will calculate the prime factors of 64470 and 64481.

Prime Factorization of 64470

Prime Factorization of 64481

Now multiplying the highest exponent prime factors to calculate the LCM of 64470 and 64481.

LCM(64470,64481) = 2¹ × 3¹ × 5¹ × 7¹ × 307¹ × 17¹ × 3793¹
LCM(64470,64481) = 4157090070