What is the Least Common Multiple of 74973 and 74981?

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 74973 and 74981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74973 and 74981, than apply into the LCM equation.

GCF(74973,74981) = 1
LCM(74973,74981) = ( 74973 × 74981) / 1
LCM(74973,74981) = 5621550513 / 1
LCM(74973,74981) = 5621550513

Least Common Multiple (LCM) of 74973 and 74981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74973 and 74981. First we will calculate the prime factors of 74973 and 74981.

Prime Factorization of 74973

Prime Factorization of 74981

Now multiplying the highest exponent prime factors to calculate the LCM of 74973 and 74981.

LCM(74973,74981) = 3¹ × 67¹ × 373¹ × 97¹ × 773¹
LCM(74973,74981) = 5621550513