What is the Least Common Multiple of 78769 and 78780?

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 78769 and 78780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78769 and 78780, than apply into the LCM equation.

GCF(78769,78780) = 1
LCM(78769,78780) = ( 78769 × 78780) / 1
LCM(78769,78780) = 6205421820 / 1
LCM(78769,78780) = 6205421820

Least Common Multiple (LCM) of 78769 and 78780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78769 and 78780. First we will calculate the prime factors of 78769 and 78780.

Prime Factorization of 78769

Prime Factorization of 78780

Now multiplying the highest exponent prime factors to calculate the LCM of 78769 and 78780.

LCM(78769,78780) = 227¹ × 347¹ × 2² × 3¹ × 5¹ × 13¹ × 101¹
LCM(78769,78780) = 6205421820