What is the Least Common Multiple of 49854 and 49870?

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 49854 and 49870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49854 and 49870, than apply into the LCM equation.

GCF(49854,49870) = 2
LCM(49854,49870) = ( 49854 × 49870) / 2
LCM(49854,49870) = 2486218980 / 2
LCM(49854,49870) = 1243109490

Least Common Multiple (LCM) of 49854 and 49870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49854 and 49870. First we will calculate the prime factors of 49854 and 49870.

Prime Factorization of 49854

Prime Factorization of 49870

Now multiplying the highest exponent prime factors to calculate the LCM of 49854 and 49870.

LCM(49854,49870) = 2¹ × 3¹ × 7¹ × 1187¹ × 5¹ × 4987¹
LCM(49854,49870) = 1243109490