What is the Least Common Multiple of 49610 and 49615?

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 49610 and 49615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49610 and 49615, than apply into the LCM equation.

GCF(49610,49615) = 5
LCM(49610,49615) = ( 49610 × 49615) / 5
LCM(49610,49615) = 2461400150 / 5
LCM(49610,49615) = 492280030

Least Common Multiple (LCM) of 49610 and 49615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49610 and 49615. First we will calculate the prime factors of 49610 and 49615.

Prime Factorization of 49610

Prime Factorization of 49615

Now multiplying the highest exponent prime factors to calculate the LCM of 49610 and 49615.

LCM(49610,49615) = 2¹ × 5¹ × 11² × 41¹ × 9923¹
LCM(49610,49615) = 492280030