What is the Least Common Multiple of 53024 and 53042?

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 53024 and 53042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53024 and 53042, than apply into the LCM equation.

GCF(53024,53042) = 2
LCM(53024,53042) = ( 53024 × 53042) / 2
LCM(53024,53042) = 2812499008 / 2
LCM(53024,53042) = 1406249504

Least Common Multiple (LCM) of 53024 and 53042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53024 and 53042. First we will calculate the prime factors of 53024 and 53042.

Prime Factorization of 53024

Prime Factorization of 53042

Now multiplying the highest exponent prime factors to calculate the LCM of 53024 and 53042.

LCM(53024,53042) = 2⁵ × 1657¹ × 11¹ × 2411¹
LCM(53024,53042) = 1406249504