What is the Least Common Multiple of 49412 and 49422?

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 49412 and 49422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49412 and 49422, than apply into the LCM equation.

GCF(49412,49422) = 2
LCM(49412,49422) = ( 49412 × 49422) / 2
LCM(49412,49422) = 2442039864 / 2
LCM(49412,49422) = 1221019932

Least Common Multiple (LCM) of 49412 and 49422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49412 and 49422. First we will calculate the prime factors of 49412 and 49422.

Prime Factorization of 49412

Prime Factorization of 49422

Now multiplying the highest exponent prime factors to calculate the LCM of 49412 and 49422.

LCM(49412,49422) = 2² × 11¹ × 1123¹ × 3¹ × 8237¹
LCM(49412,49422) = 1221019932