What is the Least Common Multiple of 70776 and 70784?

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 70776 and 70784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70776 and 70784, than apply into the LCM equation.

GCF(70776,70784) = 8
LCM(70776,70784) = ( 70776 × 70784) / 8
LCM(70776,70784) = 5009808384 / 8
LCM(70776,70784) = 626226048

Least Common Multiple (LCM) of 70776 and 70784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70776 and 70784. First we will calculate the prime factors of 70776 and 70784.

Prime Factorization of 70776

Prime Factorization of 70784

Now multiplying the highest exponent prime factors to calculate the LCM of 70776 and 70784.

LCM(70776,70784) = 2⁷ × 3² × 983¹ × 7¹ × 79¹
LCM(70776,70784) = 626226048