What is the Least Common Multiple of 70436 and 70452?

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 70436 and 70452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70436 and 70452, than apply into the LCM equation.

GCF(70436,70452) = 4
LCM(70436,70452) = ( 70436 × 70452) / 4
LCM(70436,70452) = 4962357072 / 4
LCM(70436,70452) = 1240589268

Least Common Multiple (LCM) of 70436 and 70452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70436 and 70452. First we will calculate the prime factors of 70436 and 70452.

Prime Factorization of 70436

Prime Factorization of 70452

Now multiplying the highest exponent prime factors to calculate the LCM of 70436 and 70452.

LCM(70436,70452) = 2² × 17609¹ × 3² × 19¹ × 103¹
LCM(70436,70452) = 1240589268