What is the Least Common Multiple of 74904 and 74919?

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 74904 and 74919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74904 and 74919, than apply into the LCM equation.

GCF(74904,74919) = 3
LCM(74904,74919) = ( 74904 × 74919) / 3
LCM(74904,74919) = 5611732776 / 3
LCM(74904,74919) = 1870577592

Least Common Multiple (LCM) of 74904 and 74919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74904 and 74919. First we will calculate the prime factors of 74904 and 74919.

Prime Factorization of 74904

Prime Factorization of 74919

Now multiplying the highest exponent prime factors to calculate the LCM of 74904 and 74919.

LCM(74904,74919) = 2³ × 3¹ × 3121¹ × 13¹ × 17¹ × 113¹
LCM(74904,74919) = 1870577592