What is the Least Common Multiple of 78740 and 78749?

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 78740 and 78749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78740 and 78749, than apply into the LCM equation.

GCF(78740,78749) = 1
LCM(78740,78749) = ( 78740 × 78749) / 1
LCM(78740,78749) = 6200696260 / 1
LCM(78740,78749) = 6200696260

Least Common Multiple (LCM) of 78740 and 78749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78740 and 78749. First we will calculate the prime factors of 78740 and 78749.

Prime Factorization of 78740

Prime Factorization of 78749

Now multiplying the highest exponent prime factors to calculate the LCM of 78740 and 78749.

LCM(78740,78749) = 2² × 5¹ × 31¹ × 127¹ × 11¹ × 7159¹
LCM(78740,78749) = 6200696260