What is the Least Common Multiple of 74156 and 74174?

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 74156 and 74174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74156 and 74174, than apply into the LCM equation.

GCF(74156,74174) = 2
LCM(74156,74174) = ( 74156 × 74174) / 2
LCM(74156,74174) = 5500447144 / 2
LCM(74156,74174) = 2750223572

Least Common Multiple (LCM) of 74156 and 74174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74156 and 74174. First we will calculate the prime factors of 74156 and 74174.

Prime Factorization of 74156

Prime Factorization of 74174

Now multiplying the highest exponent prime factors to calculate the LCM of 74156 and 74174.

LCM(74156,74174) = 2² × 18539¹ × 37087¹
LCM(74156,74174) = 2750223572