What is the Least Common Multiple of 19635 and 19648?

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 19635 and 19648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19635 and 19648, than apply into the LCM equation.

GCF(19635,19648) = 1
LCM(19635,19648) = ( 19635 × 19648) / 1
LCM(19635,19648) = 385788480 / 1
LCM(19635,19648) = 385788480

Least Common Multiple (LCM) of 19635 and 19648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19635 and 19648. First we will calculate the prime factors of 19635 and 19648.

Prime Factorization of 19635

Prime Factorization of 19648

Now multiplying the highest exponent prime factors to calculate the LCM of 19635 and 19648.

LCM(19635,19648) = 3¹ × 5¹ × 7¹ × 11¹ × 17¹ × 2⁶ × 307¹
LCM(19635,19648) = 385788480