What is the Least Common Multiple of 79060 and 79077?

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 79060 and 79077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79060 and 79077, than apply into the LCM equation.

GCF(79060,79077) = 1
LCM(79060,79077) = ( 79060 × 79077) / 1
LCM(79060,79077) = 6251827620 / 1
LCM(79060,79077) = 6251827620

Least Common Multiple (LCM) of 79060 and 79077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79060 and 79077. First we will calculate the prime factors of 79060 and 79077.

Prime Factorization of 79060

Prime Factorization of 79077

Now multiplying the highest exponent prime factors to calculate the LCM of 79060 and 79077.

LCM(79060,79077) = 2² × 5¹ × 59¹ × 67¹ × 3¹ × 43¹ × 613¹
LCM(79060,79077) = 6251827620