What is the Least Common Multiple of 73525 and 73542?

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 73525 and 73542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73525 and 73542, than apply into the LCM equation.

GCF(73525,73542) = 17
LCM(73525,73542) = ( 73525 × 73542) / 17
LCM(73525,73542) = 5407175550 / 17
LCM(73525,73542) = 318069150

Least Common Multiple (LCM) of 73525 and 73542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73525 and 73542. First we will calculate the prime factors of 73525 and 73542.

Prime Factorization of 73525

Prime Factorization of 73542

Now multiplying the highest exponent prime factors to calculate the LCM of 73525 and 73542.

LCM(73525,73542) = 5² × 17¹ × 173¹ × 2¹ × 3¹ × 7¹ × 103¹
LCM(73525,73542) = 318069150