What is the Least Common Multiple of 74860 and 74880?

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 74860 and 74880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74860 and 74880, than apply into the LCM equation.

GCF(74860,74880) = 20
LCM(74860,74880) = ( 74860 × 74880) / 20
LCM(74860,74880) = 5605516800 / 20
LCM(74860,74880) = 280275840

Least Common Multiple (LCM) of 74860 and 74880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74860 and 74880. First we will calculate the prime factors of 74860 and 74880.

Prime Factorization of 74860

Prime Factorization of 74880

Now multiplying the highest exponent prime factors to calculate the LCM of 74860 and 74880.

LCM(74860,74880) = 2⁷ × 5¹ × 19¹ × 197¹ × 3² × 13¹
LCM(74860,74880) = 280275840