What is the Least Common Multiple of 49780 and 49787?

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 49780 and 49787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49780 and 49787, than apply into the LCM equation.

GCF(49780,49787) = 1
LCM(49780,49787) = ( 49780 × 49787) / 1
LCM(49780,49787) = 2478396860 / 1
LCM(49780,49787) = 2478396860

Least Common Multiple (LCM) of 49780 and 49787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49780 and 49787. First we will calculate the prime factors of 49780 and 49787.

Prime Factorization of 49780

Prime Factorization of 49787

Now multiplying the highest exponent prime factors to calculate the LCM of 49780 and 49787.

LCM(49780,49787) = 2² × 5¹ × 19¹ × 131¹ × 49787¹
LCM(49780,49787) = 2478396860