What is the Least Common Multiple of 49024 and 49042?

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 49024 and 49042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49024 and 49042, than apply into the LCM equation.

GCF(49024,49042) = 2
LCM(49024,49042) = ( 49024 × 49042) / 2
LCM(49024,49042) = 2404235008 / 2
LCM(49024,49042) = 1202117504

Least Common Multiple (LCM) of 49024 and 49042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49024 and 49042. First we will calculate the prime factors of 49024 and 49042.

Prime Factorization of 49024

Prime Factorization of 49042

Now multiplying the highest exponent prime factors to calculate the LCM of 49024 and 49042.

LCM(49024,49042) = 2⁷ × 383¹ × 7¹ × 31¹ × 113¹
LCM(49024,49042) = 1202117504