What is the Least Common Multiple of 49495 and 49505?

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 49495 and 49505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49495 and 49505, than apply into the LCM equation.

GCF(49495,49505) = 5
LCM(49495,49505) = ( 49495 × 49505) / 5
LCM(49495,49505) = 2450249975 / 5
LCM(49495,49505) = 490049995

Least Common Multiple (LCM) of 49495 and 49505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49495 and 49505. First we will calculate the prime factors of 49495 and 49505.

Prime Factorization of 49495

Prime Factorization of 49505

Now multiplying the highest exponent prime factors to calculate the LCM of 49495 and 49505.

LCM(49495,49505) = 5¹ × 19¹ × 521¹ × 9901¹
LCM(49495,49505) = 490049995