What is the Least Common Multiple of 78945 and 78956?

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 78945 and 78956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78945 and 78956, than apply into the LCM equation.

GCF(78945,78956) = 1
LCM(78945,78956) = ( 78945 × 78956) / 1
LCM(78945,78956) = 6233181420 / 1
LCM(78945,78956) = 6233181420

Least Common Multiple (LCM) of 78945 and 78956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78945 and 78956. First we will calculate the prime factors of 78945 and 78956.

Prime Factorization of 78945

Prime Factorization of 78956

Now multiplying the highest exponent prime factors to calculate the LCM of 78945 and 78956.

LCM(78945,78956) = 3¹ × 5¹ × 19¹ × 277¹ × 2² × 19739¹
LCM(78945,78956) = 6233181420