What is the Least Common Multiple of 74905 and 74921?

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 74905 and 74921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74905 and 74921, than apply into the LCM equation.

GCF(74905,74921) = 1
LCM(74905,74921) = ( 74905 × 74921) / 1
LCM(74905,74921) = 5611957505 / 1
LCM(74905,74921) = 5611957505

Least Common Multiple (LCM) of 74905 and 74921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74905 and 74921. First we will calculate the prime factors of 74905 and 74921.

Prime Factorization of 74905

Prime Factorization of 74921

Now multiplying the highest exponent prime factors to calculate the LCM of 74905 and 74921.

LCM(74905,74921) = 5¹ × 71¹ × 211¹ × 7² × 11¹ × 139¹
LCM(74905,74921) = 5611957505