What is the Least Common Multiple of 36490 and 36499?

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 36490 and 36499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36490 and 36499, than apply into the LCM equation.

GCF(36490,36499) = 1
LCM(36490,36499) = ( 36490 × 36499) / 1
LCM(36490,36499) = 1331848510 / 1
LCM(36490,36499) = 1331848510

Least Common Multiple (LCM) of 36490 and 36499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36490 and 36499. First we will calculate the prime factors of 36490 and 36499.

Prime Factorization of 36490

Prime Factorization of 36499

Now multiplying the highest exponent prime factors to calculate the LCM of 36490 and 36499.

LCM(36490,36499) = 2¹ × 5¹ × 41¹ × 89¹ × 17¹ × 19¹ × 113¹
LCM(36490,36499) = 1331848510