What is the Least Common Multiple of 67542 and 67551?

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 67542 and 67551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67542 and 67551, than apply into the LCM equation.

GCF(67542,67551) = 3
LCM(67542,67551) = ( 67542 × 67551) / 3
LCM(67542,67551) = 4562529642 / 3
LCM(67542,67551) = 1520843214

Least Common Multiple (LCM) of 67542 and 67551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67542 and 67551. First we will calculate the prime factors of 67542 and 67551.

Prime Factorization of 67542

Prime Factorization of 67551

Now multiplying the highest exponent prime factors to calculate the LCM of 67542 and 67551.

LCM(67542,67551) = 2¹ × 3¹ × 11257¹ × 11¹ × 23¹ × 89¹
LCM(67542,67551) = 1520843214