What is the Least Common Multiple of 67539 and 67547?

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 67539 and 67547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67539 and 67547, than apply into the LCM equation.

GCF(67539,67547) = 1
LCM(67539,67547) = ( 67539 × 67547) / 1
LCM(67539,67547) = 4562056833 / 1
LCM(67539,67547) = 4562056833

Least Common Multiple (LCM) of 67539 and 67547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67539 and 67547. First we will calculate the prime factors of 67539 and 67547.

Prime Factorization of 67539

Prime Factorization of 67547

Now multiplying the highest exponent prime factors to calculate the LCM of 67539 and 67547.

LCM(67539,67547) = 3¹ × 47¹ × 479¹ × 67547¹
LCM(67539,67547) = 4562056833