What is the Least Common Multiple of 49042 and 49054?

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 49042 and 49054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49042 and 49054, than apply into the LCM equation.

GCF(49042,49054) = 2
LCM(49042,49054) = ( 49042 × 49054) / 2
LCM(49042,49054) = 2405706268 / 2
LCM(49042,49054) = 1202853134

Least Common Multiple (LCM) of 49042 and 49054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49042 and 49054. First we will calculate the prime factors of 49042 and 49054.

Prime Factorization of 49042

Prime Factorization of 49054

Now multiplying the highest exponent prime factors to calculate the LCM of 49042 and 49054.

LCM(49042,49054) = 2¹ × 7¹ × 31¹ × 113¹ × 24527¹
LCM(49042,49054) = 1202853134