What is the Least Common Multiple of 77053 and 77067?

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 77053 and 77067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77053 and 77067, than apply into the LCM equation.

GCF(77053,77067) = 1
LCM(77053,77067) = ( 77053 × 77067) / 1
LCM(77053,77067) = 5938243551 / 1
LCM(77053,77067) = 5938243551

Least Common Multiple (LCM) of 77053 and 77067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77053 and 77067. First we will calculate the prime factors of 77053 and 77067.

Prime Factorization of 77053

Prime Factorization of 77067

Now multiplying the highest exponent prime factors to calculate the LCM of 77053 and 77067.

LCM(77053,77067) = 29¹ × 2657¹ × 3² × 8563¹
LCM(77053,77067) = 5938243551