What is the Least Common Multiple of 49820 and 49825?

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 49820 and 49825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49820 and 49825, than apply into the LCM equation.

GCF(49820,49825) = 5
LCM(49820,49825) = ( 49820 × 49825) / 5
LCM(49820,49825) = 2482281500 / 5
LCM(49820,49825) = 496456300

Least Common Multiple (LCM) of 49820 and 49825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49820 and 49825. First we will calculate the prime factors of 49820 and 49825.

Prime Factorization of 49820

Prime Factorization of 49825

Now multiplying the highest exponent prime factors to calculate the LCM of 49820 and 49825.

LCM(49820,49825) = 2² × 5² × 47¹ × 53¹ × 1993¹
LCM(49820,49825) = 496456300