What is the Least Common Multiple of 77494 and 77514?

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 77494 and 77514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77494 and 77514, than apply into the LCM equation.

GCF(77494,77514) = 2
LCM(77494,77514) = ( 77494 × 77514) / 2
LCM(77494,77514) = 6006869916 / 2
LCM(77494,77514) = 3003434958

Least Common Multiple (LCM) of 77494 and 77514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77494 and 77514. First we will calculate the prime factors of 77494 and 77514.

Prime Factorization of 77494

Prime Factorization of 77514

Now multiplying the highest exponent prime factors to calculate the LCM of 77494 and 77514.

LCM(77494,77514) = 2¹ × 38747¹ × 3¹ × 12919¹
LCM(77494,77514) = 3003434958