What is the Least Common Multiple of 75049 and 75067?

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 75049 and 75067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75049 and 75067, than apply into the LCM equation.

GCF(75049,75067) = 1
LCM(75049,75067) = ( 75049 × 75067) / 1
LCM(75049,75067) = 5633703283 / 1
LCM(75049,75067) = 5633703283

Least Common Multiple (LCM) of 75049 and 75067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75049 and 75067. First we will calculate the prime factors of 75049 and 75067.

Prime Factorization of 75049

Prime Factorization of 75067

Now multiplying the highest exponent prime factors to calculate the LCM of 75049 and 75067.

LCM(75049,75067) = 13¹ × 23¹ × 251¹ × 271¹ × 277¹
LCM(75049,75067) = 5633703283