What is the Least Common Multiple of 70042 and 70046?

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 70042 and 70046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70042 and 70046, than apply into the LCM equation.

GCF(70042,70046) = 2
LCM(70042,70046) = ( 70042 × 70046) / 2
LCM(70042,70046) = 4906161932 / 2
LCM(70042,70046) = 2453080966

Least Common Multiple (LCM) of 70042 and 70046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70042 and 70046. First we will calculate the prime factors of 70042 and 70046.

Prime Factorization of 70042

Prime Factorization of 70046

Now multiplying the highest exponent prime factors to calculate the LCM of 70042 and 70046.

LCM(70042,70046) = 2¹ × 7¹ × 5003¹ × 35023¹
LCM(70042,70046) = 2453080966