What is the Least Common Multiple of 64966 and 64983?

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 64966 and 64983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64966 and 64983, than apply into the LCM equation.

GCF(64966,64983) = 1
LCM(64966,64983) = ( 64966 × 64983) / 1
LCM(64966,64983) = 4221685578 / 1
LCM(64966,64983) = 4221685578

Least Common Multiple (LCM) of 64966 and 64983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64966 and 64983. First we will calculate the prime factors of 64966 and 64983.

Prime Factorization of 64966

Prime Factorization of 64983

Now multiplying the highest exponent prime factors to calculate the LCM of 64966 and 64983.

LCM(64966,64983) = 2¹ × 11¹ × 2953¹ × 3¹ × 21661¹
LCM(64966,64983) = 4221685578