What is the Least Common Multiple of 60904 and 60924?

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 60904 and 60924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60904 and 60924, than apply into the LCM equation.

GCF(60904,60924) = 4
LCM(60904,60924) = ( 60904 × 60924) / 4
LCM(60904,60924) = 3710515296 / 4
LCM(60904,60924) = 927628824

Least Common Multiple (LCM) of 60904 and 60924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60904 and 60924. First we will calculate the prime factors of 60904 and 60924.

Prime Factorization of 60904

Prime Factorization of 60924

Now multiplying the highest exponent prime factors to calculate the LCM of 60904 and 60924.

LCM(60904,60924) = 2³ × 23¹ × 331¹ × 3¹ × 5077¹
LCM(60904,60924) = 927628824