What is the Least Common Multiple of 49870 and 49876?

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 49870 and 49876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49870 and 49876, than apply into the LCM equation.

GCF(49870,49876) = 2
LCM(49870,49876) = ( 49870 × 49876) / 2
LCM(49870,49876) = 2487316120 / 2
LCM(49870,49876) = 1243658060

Least Common Multiple (LCM) of 49870 and 49876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49870 and 49876. First we will calculate the prime factors of 49870 and 49876.

Prime Factorization of 49870

Prime Factorization of 49876

Now multiplying the highest exponent prime factors to calculate the LCM of 49870 and 49876.

LCM(49870,49876) = 2² × 5¹ × 4987¹ × 37¹ × 337¹
LCM(49870,49876) = 1243658060