What is the Least Common Multiple of 70020 and 70040?

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 70020 and 70040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70020 and 70040, than apply into the LCM equation.

GCF(70020,70040) = 20
LCM(70020,70040) = ( 70020 × 70040) / 20
LCM(70020,70040) = 4904200800 / 20
LCM(70020,70040) = 245210040

Least Common Multiple (LCM) of 70020 and 70040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70020 and 70040. First we will calculate the prime factors of 70020 and 70040.

Prime Factorization of 70020

Prime Factorization of 70040

Now multiplying the highest exponent prime factors to calculate the LCM of 70020 and 70040.

LCM(70020,70040) = 2³ × 3² × 5¹ × 389¹ × 17¹ × 103¹
LCM(70020,70040) = 245210040