What is the Least Common Multiple of 77490 and 77494?

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 77490 and 77494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77490 and 77494, than apply into the LCM equation.

GCF(77490,77494) = 2
LCM(77490,77494) = ( 77490 × 77494) / 2
LCM(77490,77494) = 6005010060 / 2
LCM(77490,77494) = 3002505030

Least Common Multiple (LCM) of 77490 and 77494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77490 and 77494. First we will calculate the prime factors of 77490 and 77494.

Prime Factorization of 77490

Prime Factorization of 77494

Now multiplying the highest exponent prime factors to calculate the LCM of 77490 and 77494.

LCM(77490,77494) = 2¹ × 3³ × 5¹ × 7¹ × 41¹ × 38747¹
LCM(77490,77494) = 3002505030