What is the Least Common Multiple of 74880 and 74896?

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 74880 and 74896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74880 and 74896, than apply into the LCM equation.

GCF(74880,74896) = 16
LCM(74880,74896) = ( 74880 × 74896) / 16
LCM(74880,74896) = 5608212480 / 16
LCM(74880,74896) = 350513280

Least Common Multiple (LCM) of 74880 and 74896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74880 and 74896. First we will calculate the prime factors of 74880 and 74896.

Prime Factorization of 74880

Prime Factorization of 74896

Now multiplying the highest exponent prime factors to calculate the LCM of 74880 and 74896.

LCM(74880,74896) = 2⁷ × 3² × 5¹ × 13¹ × 31¹ × 151¹
LCM(74880,74896) = 350513280