What is the Least Common Multiple of 70578 and 70596?

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 70578 and 70596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70578 and 70596, than apply into the LCM equation.

GCF(70578,70596) = 18
LCM(70578,70596) = ( 70578 × 70596) / 18
LCM(70578,70596) = 4982524488 / 18
LCM(70578,70596) = 276806916

Least Common Multiple (LCM) of 70578 and 70596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70578 and 70596. First we will calculate the prime factors of 70578 and 70596.

Prime Factorization of 70578

Prime Factorization of 70596

Now multiplying the highest exponent prime factors to calculate the LCM of 70578 and 70596.

LCM(70578,70596) = 2² × 3³ × 1307¹ × 37¹ × 53¹
LCM(70578,70596) = 276806916