What is the Least Common Multiple of 76538 and 76543?

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 76538 and 76543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76538 and 76543, than apply into the LCM equation.

GCF(76538,76543) = 1
LCM(76538,76543) = ( 76538 × 76543) / 1
LCM(76538,76543) = 5858448134 / 1
LCM(76538,76543) = 5858448134

Least Common Multiple (LCM) of 76538 and 76543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76538 and 76543. First we will calculate the prime factors of 76538 and 76543.

Prime Factorization of 76538

Prime Factorization of 76543

Now multiplying the highest exponent prime factors to calculate the LCM of 76538 and 76543.

LCM(76538,76543) = 2¹ × 7² × 11¹ × 71¹ × 76543¹
LCM(76538,76543) = 5858448134