What is the Least Common Multiple of 77939 and 77956?

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 77939 and 77956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77939 and 77956, than apply into the LCM equation.

GCF(77939,77956) = 1
LCM(77939,77956) = ( 77939 × 77956) / 1
LCM(77939,77956) = 6075812684 / 1
LCM(77939,77956) = 6075812684

Least Common Multiple (LCM) of 77939 and 77956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77939 and 77956. First we will calculate the prime factors of 77939 and 77956.

Prime Factorization of 77939

Prime Factorization of 77956

Now multiplying the highest exponent prime factors to calculate the LCM of 77939 and 77956.

LCM(77939,77956) = 59¹ × 1321¹ × 2² × 19489¹
LCM(77939,77956) = 6075812684