What is the Least Common Multiple of 73683 and 73688?

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 73683 and 73688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73683 and 73688, than apply into the LCM equation.

GCF(73683,73688) = 1
LCM(73683,73688) = ( 73683 × 73688) / 1
LCM(73683,73688) = 5429552904 / 1
LCM(73683,73688) = 5429552904

Least Common Multiple (LCM) of 73683 and 73688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73683 and 73688. First we will calculate the prime factors of 73683 and 73688.

Prime Factorization of 73683

Prime Factorization of 73688

Now multiplying the highest exponent prime factors to calculate the LCM of 73683 and 73688.

LCM(73683,73688) = 3³ × 2729¹ × 2³ × 61¹ × 151¹
LCM(73683,73688) = 5429552904