What is the Least Common Multiple of 49100 and 49115?

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 49100 and 49115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49100 and 49115, than apply into the LCM equation.

GCF(49100,49115) = 5
LCM(49100,49115) = ( 49100 × 49115) / 5
LCM(49100,49115) = 2411546500 / 5
LCM(49100,49115) = 482309300

Least Common Multiple (LCM) of 49100 and 49115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49100 and 49115. First we will calculate the prime factors of 49100 and 49115.

Prime Factorization of 49100

Prime Factorization of 49115

Now multiplying the highest exponent prime factors to calculate the LCM of 49100 and 49115.

LCM(49100,49115) = 2² × 5² × 491¹ × 11¹ × 19¹ × 47¹
LCM(49100,49115) = 482309300