What is the Least Common Multiple of 59774 and 59792?

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 59774 and 59792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59774 and 59792, than apply into the LCM equation.

GCF(59774,59792) = 2
LCM(59774,59792) = ( 59774 × 59792) / 2
LCM(59774,59792) = 3574007008 / 2
LCM(59774,59792) = 1787003504

Least Common Multiple (LCM) of 59774 and 59792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59774 and 59792. First we will calculate the prime factors of 59774 and 59792.

Prime Factorization of 59774

Prime Factorization of 59792

Now multiplying the highest exponent prime factors to calculate the LCM of 59774 and 59792.

LCM(59774,59792) = 2⁴ × 11² × 13¹ × 19¹ × 37¹ × 101¹
LCM(59774,59792) = 1787003504