What is the Least Common Multiple of 49653 and 49662?

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 49653 and 49662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49653 and 49662, than apply into the LCM equation.

GCF(49653,49662) = 9
LCM(49653,49662) = ( 49653 × 49662) / 9
LCM(49653,49662) = 2465867286 / 9
LCM(49653,49662) = 273985254

Least Common Multiple (LCM) of 49653 and 49662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49653 and 49662. First we will calculate the prime factors of 49653 and 49662.

Prime Factorization of 49653

Prime Factorization of 49662

Now multiplying the highest exponent prime factors to calculate the LCM of 49653 and 49662.

LCM(49653,49662) = 3⁴ × 613¹ × 2¹ × 31¹ × 89¹
LCM(49653,49662) = 273985254