What is the Least Common Multiple of 70054 and 70072?

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 70054 and 70072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70054 and 70072, than apply into the LCM equation.

GCF(70054,70072) = 2
LCM(70054,70072) = ( 70054 × 70072) / 2
LCM(70054,70072) = 4908823888 / 2
LCM(70054,70072) = 2454411944

Least Common Multiple (LCM) of 70054 and 70072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70054 and 70072. First we will calculate the prime factors of 70054 and 70072.

Prime Factorization of 70054

Prime Factorization of 70072

Now multiplying the highest exponent prime factors to calculate the LCM of 70054 and 70072.

LCM(70054,70072) = 2³ × 35027¹ × 19¹ × 461¹
LCM(70054,70072) = 2454411944