What is the Least Common Multiple of 73024 and 73042?

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 73042 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 73042, than apply into the LCM equation.

GCF(73024,73042) = 2
LCM(73024,73042) = ( 73024 × 73042) / 2
LCM(73024,73042) = 5333819008 / 2
LCM(73024,73042) = 2666909504

Least Common Multiple (LCM) of 73024 and 73042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73024 and 73042. First we will calculate the prime factors of 73024 and 73042.

Prime Factorization of 73024

Prime Factorization of 73042

Now multiplying the highest exponent prime factors to calculate the LCM of 73024 and 73042.

LCM(73024,73042) = 2⁶ × 7¹ × 163¹ × 59¹ × 619¹
LCM(73024,73042) = 2666909504