What is the Least Common Multiple of 36055 and 36074?

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 36055 and 36074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36055 and 36074, than apply into the LCM equation.

GCF(36055,36074) = 1
LCM(36055,36074) = ( 36055 × 36074) / 1
LCM(36055,36074) = 1300648070 / 1
LCM(36055,36074) = 1300648070

Least Common Multiple (LCM) of 36055 and 36074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36055 and 36074. First we will calculate the prime factors of 36055 and 36074.

Prime Factorization of 36055

Prime Factorization of 36074

Now multiplying the highest exponent prime factors to calculate the LCM of 36055 and 36074.

LCM(36055,36074) = 5¹ × 7211¹ × 2¹ × 17¹ × 1061¹
LCM(36055,36074) = 1300648070