What is the Least Common Multiple of 73554 and 73564?

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 73554 and 73564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73554 and 73564, than apply into the LCM equation.

GCF(73554,73564) = 2
LCM(73554,73564) = ( 73554 × 73564) / 2
LCM(73554,73564) = 5410926456 / 2
LCM(73554,73564) = 2705463228

Least Common Multiple (LCM) of 73554 and 73564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73554 and 73564. First we will calculate the prime factors of 73554 and 73564.

Prime Factorization of 73554

Prime Factorization of 73564

Now multiplying the highest exponent prime factors to calculate the LCM of 73554 and 73564.

LCM(73554,73564) = 2² × 3¹ × 13¹ × 23¹ × 41¹ × 53¹ × 347¹
LCM(73554,73564) = 2705463228