What is the Least Common Multiple of 73648 and 73658?

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 73648 and 73658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73648 and 73658, than apply into the LCM equation.

GCF(73648,73658) = 2
LCM(73648,73658) = ( 73648 × 73658) / 2
LCM(73648,73658) = 5424764384 / 2
LCM(73648,73658) = 2712382192

Least Common Multiple (LCM) of 73648 and 73658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73648 and 73658. First we will calculate the prime factors of 73648 and 73658.

Prime Factorization of 73648

Prime Factorization of 73658

Now multiplying the highest exponent prime factors to calculate the LCM of 73648 and 73658.

LCM(73648,73658) = 2⁴ × 4603¹ × 13¹ × 2833¹
LCM(73648,73658) = 2712382192