What is the Least Common Multiple of 74749 and 74761?

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 74749 and 74761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74749 and 74761, than apply into the LCM equation.

GCF(74749,74761) = 1
LCM(74749,74761) = ( 74749 × 74761) / 1
LCM(74749,74761) = 5588309989 / 1
LCM(74749,74761) = 5588309989

Least Common Multiple (LCM) of 74749 and 74761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74749 and 74761. First we will calculate the prime factors of 74749 and 74761.

Prime Factorization of 74749

Prime Factorization of 74761

Now multiplying the highest exponent prime factors to calculate the LCM of 74749 and 74761.

LCM(74749,74761) = 17¹ × 4397¹ × 74761¹
LCM(74749,74761) = 5588309989