What is the Least Common Multiple of 73485 and 73494?

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 73485 and 73494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73485 and 73494, than apply into the LCM equation.

GCF(73485,73494) = 9
LCM(73485,73494) = ( 73485 × 73494) / 9
LCM(73485,73494) = 5400706590 / 9
LCM(73485,73494) = 600078510

Least Common Multiple (LCM) of 73485 and 73494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73485 and 73494. First we will calculate the prime factors of 73485 and 73494.

Prime Factorization of 73485

Prime Factorization of 73494

Now multiplying the highest exponent prime factors to calculate the LCM of 73485 and 73494.

LCM(73485,73494) = 3³ × 5¹ × 23¹ × 71¹ × 2¹ × 1361¹
LCM(73485,73494) = 600078510