What is the Least Common Multiple of 70764 and 70774?

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 70774 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 70774, than apply into the LCM equation.

GCF(70764,70774) = 2
LCM(70764,70774) = ( 70764 × 70774) / 2
LCM(70764,70774) = 5008251336 / 2
LCM(70764,70774) = 2504125668

Least Common Multiple (LCM) of 70764 and 70774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70764 and 70774. First we will calculate the prime factors of 70764 and 70774.

Prime Factorization of 70764

Prime Factorization of 70774

Now multiplying the highest exponent prime factors to calculate the LCM of 70764 and 70774.

LCM(70764,70774) = 2² × 3¹ × 5897¹ × 11¹ × 3217¹
LCM(70764,70774) = 2504125668