What is the Least Common Multiple of 73515 and 73531?

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 73515 and 73531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73515 and 73531, than apply into the LCM equation.

GCF(73515,73531) = 1
LCM(73515,73531) = ( 73515 × 73531) / 1
LCM(73515,73531) = 5405631465 / 1
LCM(73515,73531) = 5405631465

Least Common Multiple (LCM) of 73515 and 73531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73515 and 73531. First we will calculate the prime factors of 73515 and 73531.

Prime Factorization of 73515

Prime Factorization of 73531

Now multiplying the highest exponent prime factors to calculate the LCM of 73515 and 73531.

LCM(73515,73531) = 3¹ × 5¹ × 13² × 29¹ × 23² × 139¹
LCM(73515,73531) = 5405631465