What is the Least Common Multiple of 70764 and 70778?

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 70764 and 70778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70764 and 70778, than apply into the LCM equation.

GCF(70764,70778) = 2
LCM(70764,70778) = ( 70764 × 70778) / 2
LCM(70764,70778) = 5008534392 / 2
LCM(70764,70778) = 2504267196

Least Common Multiple (LCM) of 70764 and 70778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70764 and 70778. First we will calculate the prime factors of 70764 and 70778.

Prime Factorization of 70764

Prime Factorization of 70778

Now multiplying the highest exponent prime factors to calculate the LCM of 70764 and 70778.

LCM(70764,70778) = 2² × 3¹ × 5897¹ × 43¹ × 823¹
LCM(70764,70778) = 2504267196