What is the Least Common Multiple of 73644 and 73648?

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 73644 and 73648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73644 and 73648, than apply into the LCM equation.

GCF(73644,73648) = 4
LCM(73644,73648) = ( 73644 × 73648) / 4
LCM(73644,73648) = 5423733312 / 4
LCM(73644,73648) = 1355933328

Least Common Multiple (LCM) of 73644 and 73648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73644 and 73648. First we will calculate the prime factors of 73644 and 73648.

Prime Factorization of 73644

Prime Factorization of 73648

Now multiplying the highest exponent prime factors to calculate the LCM of 73644 and 73648.

LCM(73644,73648) = 2⁴ × 3¹ × 17¹ × 19² × 4603¹
LCM(73644,73648) = 1355933328