What is the Least Common Multiple of 49647 and 49666?

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 49647 and 49666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49647 and 49666, than apply into the LCM equation.

GCF(49647,49666) = 19
LCM(49647,49666) = ( 49647 × 49666) / 19
LCM(49647,49666) = 2465767902 / 19
LCM(49647,49666) = 129777258

Least Common Multiple (LCM) of 49647 and 49666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49647 and 49666. First we will calculate the prime factors of 49647 and 49666.

Prime Factorization of 49647

Prime Factorization of 49666

Now multiplying the highest exponent prime factors to calculate the LCM of 49647 and 49666.

LCM(49647,49666) = 3¹ × 13¹ × 19¹ × 67¹ × 2¹ × 1307¹
LCM(49647,49666) = 129777258