What is the Least Common Multiple of 77478 and 77490?

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 77478 and 77490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77478 and 77490, than apply into the LCM equation.

GCF(77478,77490) = 6
LCM(77478,77490) = ( 77478 × 77490) / 6
LCM(77478,77490) = 6003770220 / 6
LCM(77478,77490) = 1000628370

Least Common Multiple (LCM) of 77478 and 77490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77478 and 77490. First we will calculate the prime factors of 77478 and 77490.

Prime Factorization of 77478

Prime Factorization of 77490

Now multiplying the highest exponent prime factors to calculate the LCM of 77478 and 77490.

LCM(77478,77490) = 2¹ × 3³ × 37¹ × 349¹ × 5¹ × 7¹ × 41¹
LCM(77478,77490) = 1000628370