What is the Least Common Multiple of 64714 and 64733?

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 64714 and 64733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64714 and 64733, than apply into the LCM equation.

GCF(64714,64733) = 19
LCM(64714,64733) = ( 64714 × 64733) / 19
LCM(64714,64733) = 4189131362 / 19
LCM(64714,64733) = 220480598

Least Common Multiple (LCM) of 64714 and 64733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64714 and 64733. First we will calculate the prime factors of 64714 and 64733.

Prime Factorization of 64714

Prime Factorization of 64733

Now multiplying the highest exponent prime factors to calculate the LCM of 64714 and 64733.

LCM(64714,64733) = 2¹ × 13¹ × 19¹ × 131¹ × 3407¹
LCM(64714,64733) = 220480598