What is the Least Common Multiple of 79768 and 79780?

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 79768 and 79780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79768 and 79780, than apply into the LCM equation.

GCF(79768,79780) = 4
LCM(79768,79780) = ( 79768 × 79780) / 4
LCM(79768,79780) = 6363891040 / 4
LCM(79768,79780) = 1590972760

Least Common Multiple (LCM) of 79768 and 79780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79768 and 79780. First we will calculate the prime factors of 79768 and 79780.

Prime Factorization of 79768

Prime Factorization of 79780

Now multiplying the highest exponent prime factors to calculate the LCM of 79768 and 79780.

LCM(79768,79780) = 2³ × 13² × 59¹ × 5¹ × 3989¹
LCM(79768,79780) = 1590972760