What is the Least Common Multiple of 74148 and 74163?

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 74148 and 74163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74148 and 74163, than apply into the LCM equation.

GCF(74148,74163) = 3
LCM(74148,74163) = ( 74148 × 74163) / 3
LCM(74148,74163) = 5499038124 / 3
LCM(74148,74163) = 1833012708

Least Common Multiple (LCM) of 74148 and 74163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74148 and 74163. First we will calculate the prime factors of 74148 and 74163.

Prime Factorization of 74148

Prime Factorization of 74163

Now multiplying the highest exponent prime factors to calculate the LCM of 74148 and 74163.

LCM(74148,74163) = 2² × 3¹ × 37¹ × 167¹ × 59¹ × 419¹
LCM(74148,74163) = 1833012708