What is the Least Common Multiple of 73842 and 73851?

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 73842 and 73851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73842 and 73851, than apply into the LCM equation.

GCF(73842,73851) = 3
LCM(73842,73851) = ( 73842 × 73851) / 3
LCM(73842,73851) = 5453305542 / 3
LCM(73842,73851) = 1817768514

Least Common Multiple (LCM) of 73842 and 73851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73842 and 73851. First we will calculate the prime factors of 73842 and 73851.

Prime Factorization of 73842

Prime Factorization of 73851

Now multiplying the highest exponent prime factors to calculate the LCM of 73842 and 73851.

LCM(73842,73851) = 2¹ × 3¹ × 31¹ × 397¹ × 103¹ × 239¹
LCM(73842,73851) = 1817768514