What is the Least Common Multiple of 70044 and 70054?

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 70044 and 70054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70044 and 70054, than apply into the LCM equation.

GCF(70044,70054) = 2
LCM(70044,70054) = ( 70044 × 70054) / 2
LCM(70044,70054) = 4906862376 / 2
LCM(70044,70054) = 2453431188

Least Common Multiple (LCM) of 70044 and 70054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70044 and 70054. First we will calculate the prime factors of 70044 and 70054.

Prime Factorization of 70044

Prime Factorization of 70054

Now multiplying the highest exponent prime factors to calculate the LCM of 70044 and 70054.

LCM(70044,70054) = 2² × 3¹ × 13¹ × 449¹ × 35027¹
LCM(70044,70054) = 2453431188