What is the Least Common Multiple of 20074 and 20094?

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 20074 and 20094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20074 and 20094, than apply into the LCM equation.

GCF(20074,20094) = 2
LCM(20074,20094) = ( 20074 × 20094) / 2
LCM(20074,20094) = 403366956 / 2
LCM(20074,20094) = 201683478

Least Common Multiple (LCM) of 20074 and 20094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20074 and 20094. First we will calculate the prime factors of 20074 and 20094.

Prime Factorization of 20074

Prime Factorization of 20094

Now multiplying the highest exponent prime factors to calculate the LCM of 20074 and 20094.

LCM(20074,20094) = 2¹ × 10037¹ × 3¹ × 17¹ × 197¹
LCM(20074,20094) = 201683478