What is the Least Common Multiple of 49605 and 49625?

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 49625 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 49625, than apply into the LCM equation.

GCF(49605,49625) = 5
LCM(49605,49625) = ( 49605 × 49625) / 5
LCM(49605,49625) = 2461648125 / 5
LCM(49605,49625) = 492329625

Least Common Multiple (LCM) of 49605 and 49625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49605 and 49625. First we will calculate the prime factors of 49605 and 49625.

Prime Factorization of 49605

Prime Factorization of 49625

Now multiplying the highest exponent prime factors to calculate the LCM of 49605 and 49625.

LCM(49605,49625) = 3¹ × 5³ × 3307¹ × 397¹
LCM(49605,49625) = 492329625