What is the Least Common Multiple of 64524 and 64543?

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 64524 and 64543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64524 and 64543, than apply into the LCM equation.

GCF(64524,64543) = 19
LCM(64524,64543) = ( 64524 × 64543) / 19
LCM(64524,64543) = 4164572532 / 19
LCM(64524,64543) = 219188028

Least Common Multiple (LCM) of 64524 and 64543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64524 and 64543. First we will calculate the prime factors of 64524 and 64543.

Prime Factorization of 64524

Prime Factorization of 64543

Now multiplying the highest exponent prime factors to calculate the LCM of 64524 and 64543.

LCM(64524,64543) = 2² × 3¹ × 19¹ × 283¹ × 43¹ × 79¹
LCM(64524,64543) = 219188028