What is the Least Common Multiple of 73491 and 73496?

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 73491 and 73496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73491 and 73496, than apply into the LCM equation.

GCF(73491,73496) = 1
LCM(73491,73496) = ( 73491 × 73496) / 1
LCM(73491,73496) = 5401294536 / 1
LCM(73491,73496) = 5401294536

Least Common Multiple (LCM) of 73491 and 73496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73491 and 73496. First we will calculate the prime factors of 73491 and 73496.

Prime Factorization of 73491

Prime Factorization of 73496

Now multiplying the highest exponent prime factors to calculate the LCM of 73491 and 73496.

LCM(73491,73496) = 3¹ × 11¹ × 17¹ × 131¹ × 2³ × 9187¹
LCM(73491,73496) = 5401294536