What is the Least Common Multiple of 70774 and 70788?

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 70774 and 70788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70774 and 70788, than apply into the LCM equation.

GCF(70774,70788) = 2
LCM(70774,70788) = ( 70774 × 70788) / 2
LCM(70774,70788) = 5009949912 / 2
LCM(70774,70788) = 2504974956

Least Common Multiple (LCM) of 70774 and 70788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70774 and 70788. First we will calculate the prime factors of 70774 and 70788.

Prime Factorization of 70774

Prime Factorization of 70788

Now multiplying the highest exponent prime factors to calculate the LCM of 70774 and 70788.

LCM(70774,70788) = 2² × 11¹ × 3217¹ × 3¹ × 17¹ × 347¹
LCM(70774,70788) = 2504974956