What is the Least Common Multiple of 74185 and 74204?

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 74185 and 74204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74185 and 74204, than apply into the LCM equation.

GCF(74185,74204) = 1
LCM(74185,74204) = ( 74185 × 74204) / 1
LCM(74185,74204) = 5504823740 / 1
LCM(74185,74204) = 5504823740

Least Common Multiple (LCM) of 74185 and 74204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74185 and 74204. First we will calculate the prime factors of 74185 and 74204.

Prime Factorization of 74185

Prime Factorization of 74204

Now multiplying the highest exponent prime factors to calculate the LCM of 74185 and 74204.

LCM(74185,74204) = 5¹ × 37¹ × 401¹ × 2² × 13¹ × 1427¹
LCM(74185,74204) = 5504823740