What is the Least Common Multiple of 74153 and 74172?

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 74153 and 74172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74153 and 74172, than apply into the LCM equation.

GCF(74153,74172) = 1
LCM(74153,74172) = ( 74153 × 74172) / 1
LCM(74153,74172) = 5500076316 / 1
LCM(74153,74172) = 5500076316

Least Common Multiple (LCM) of 74153 and 74172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74153 and 74172. First we will calculate the prime factors of 74153 and 74172.

Prime Factorization of 74153

Prime Factorization of 74172

Now multiplying the highest exponent prime factors to calculate the LCM of 74153 and 74172.

LCM(74153,74172) = 29¹ × 2557¹ × 2² × 3¹ × 7¹ × 883¹
LCM(74153,74172) = 5500076316