What is the Least Common Multiple of 79760 and 79778?

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 79760 and 79778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79760 and 79778, than apply into the LCM equation.

GCF(79760,79778) = 2
LCM(79760,79778) = ( 79760 × 79778) / 2
LCM(79760,79778) = 6363093280 / 2
LCM(79760,79778) = 3181546640

Least Common Multiple (LCM) of 79760 and 79778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79760 and 79778. First we will calculate the prime factors of 79760 and 79778.

Prime Factorization of 79760

Prime Factorization of 79778

Now multiplying the highest exponent prime factors to calculate the LCM of 79760 and 79778.

LCM(79760,79778) = 2⁴ × 5¹ × 997¹ × 113¹ × 353¹
LCM(79760,79778) = 3181546640