What is the Least Common Multiple of 77490 and 77503?

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 77503 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 77503, than apply into the LCM equation.

GCF(77490,77503) = 1
LCM(77490,77503) = ( 77490 × 77503) / 1
LCM(77490,77503) = 6005707470 / 1
LCM(77490,77503) = 6005707470

Least Common Multiple (LCM) of 77490 and 77503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77490 and 77503. First we will calculate the prime factors of 77490 and 77503.

Prime Factorization of 77490

Prime Factorization of 77503

Now multiplying the highest exponent prime factors to calculate the LCM of 77490 and 77503.

LCM(77490,77503) = 2¹ × 3³ × 5¹ × 7¹ × 41¹ × 17¹ × 47¹ × 97¹
LCM(77490,77503) = 6005707470