What is the Least Common Multiple of 78949 and 78969?

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 78949 and 78969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78949 and 78969, than apply into the LCM equation.

GCF(78949,78969) = 1
LCM(78949,78969) = ( 78949 × 78969) / 1
LCM(78949,78969) = 6234523581 / 1
LCM(78949,78969) = 6234523581

Least Common Multiple (LCM) of 78949 and 78969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78949 and 78969. First we will calculate the prime factors of 78949 and 78969.

Prime Factorization of 78949

Prime Factorization of 78969

Now multiplying the highest exponent prime factors to calculate the LCM of 78949 and 78969.

LCM(78949,78969) = 13¹ × 6073¹ × 3¹ × 11¹ × 2393¹
LCM(78949,78969) = 6234523581