What is the Least Common Multiple of 74090 and 74102?

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 74090 and 74102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74090 and 74102, than apply into the LCM equation.

GCF(74090,74102) = 2
LCM(74090,74102) = ( 74090 × 74102) / 2
LCM(74090,74102) = 5490217180 / 2
LCM(74090,74102) = 2745108590

Least Common Multiple (LCM) of 74090 and 74102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74090 and 74102. First we will calculate the prime factors of 74090 and 74102.

Prime Factorization of 74090

Prime Factorization of 74102

Now multiplying the highest exponent prime factors to calculate the LCM of 74090 and 74102.

LCM(74090,74102) = 2¹ × 5¹ × 31¹ × 239¹ × 7¹ × 67¹ × 79¹
LCM(74090,74102) = 2745108590