What is the Least Common Multiple of 73024 and 73034?

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 73024 and 73034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73024 and 73034, than apply into the LCM equation.

GCF(73024,73034) = 2
LCM(73024,73034) = ( 73024 × 73034) / 2
LCM(73024,73034) = 5333234816 / 2
LCM(73024,73034) = 2666617408

Least Common Multiple (LCM) of 73024 and 73034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73024 and 73034. First we will calculate the prime factors of 73024 and 73034.

Prime Factorization of 73024

Prime Factorization of 73034

Now multiplying the highest exponent prime factors to calculate the LCM of 73024 and 73034.

LCM(73024,73034) = 2⁶ × 7¹ × 163¹ × 13¹ × 53²
LCM(73024,73034) = 2666617408