What is the Least Common Multiple of 73038 and 73045?

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 73038 and 73045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73038 and 73045, than apply into the LCM equation.

GCF(73038,73045) = 7
LCM(73038,73045) = ( 73038 × 73045) / 7
LCM(73038,73045) = 5335060710 / 7
LCM(73038,73045) = 762151530

Least Common Multiple (LCM) of 73038 and 73045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73038 and 73045. First we will calculate the prime factors of 73038 and 73045.

Prime Factorization of 73038

Prime Factorization of 73045

Now multiplying the highest exponent prime factors to calculate the LCM of 73038 and 73045.

LCM(73038,73045) = 2¹ × 3¹ × 7¹ × 37¹ × 47¹ × 5¹ × 2087¹
LCM(73038,73045) = 762151530