What is the Least Common Multiple of 74740 and 74749?

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 74740 and 74749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74740 and 74749, than apply into the LCM equation.

GCF(74740,74749) = 1
LCM(74740,74749) = ( 74740 × 74749) / 1
LCM(74740,74749) = 5586740260 / 1
LCM(74740,74749) = 5586740260

Least Common Multiple (LCM) of 74740 and 74749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74740 and 74749. First we will calculate the prime factors of 74740 and 74749.

Prime Factorization of 74740

Prime Factorization of 74749

Now multiplying the highest exponent prime factors to calculate the LCM of 74740 and 74749.

LCM(74740,74749) = 2² × 5¹ × 37¹ × 101¹ × 17¹ × 4397¹
LCM(74740,74749) = 5586740260