What is the Least Common Multiple of 77948 and 77966?

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 77948 and 77966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77948 and 77966, than apply into the LCM equation.

GCF(77948,77966) = 2
LCM(77948,77966) = ( 77948 × 77966) / 2
LCM(77948,77966) = 6077293768 / 2
LCM(77948,77966) = 3038646884

Least Common Multiple (LCM) of 77948 and 77966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77948 and 77966. First we will calculate the prime factors of 77948 and 77966.

Prime Factorization of 77948

Prime Factorization of 77966

Now multiplying the highest exponent prime factors to calculate the LCM of 77948 and 77966.

LCM(77948,77966) = 2² × 13¹ × 1499¹ × 7¹ × 5569¹
LCM(77948,77966) = 3038646884