What is the Least Common Multiple of 49605 and 49621?

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 49605 and 49621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49605 and 49621, than apply into the LCM equation.

GCF(49605,49621) = 1
LCM(49605,49621) = ( 49605 × 49621) / 1
LCM(49605,49621) = 2461449705 / 1
LCM(49605,49621) = 2461449705

Least Common Multiple (LCM) of 49605 and 49621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49605 and 49621. First we will calculate the prime factors of 49605 and 49621.

Prime Factorization of 49605

Prime Factorization of 49621

Now multiplying the highest exponent prime factors to calculate the LCM of 49605 and 49621.

LCM(49605,49621) = 3¹ × 5¹ × 3307¹ × 11¹ × 13¹ × 347¹
LCM(49605,49621) = 2461449705