What is the Least Common Multiple of 74980 and 74990?

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 74980 and 74990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74980 and 74990, than apply into the LCM equation.

GCF(74980,74990) = 10
LCM(74980,74990) = ( 74980 × 74990) / 10
LCM(74980,74990) = 5622750200 / 10
LCM(74980,74990) = 562275020

Least Common Multiple (LCM) of 74980 and 74990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74980 and 74990. First we will calculate the prime factors of 74980 and 74990.

Prime Factorization of 74980

Prime Factorization of 74990

Now multiplying the highest exponent prime factors to calculate the LCM of 74980 and 74990.

LCM(74980,74990) = 2² × 5¹ × 23¹ × 163¹ × 7499¹
LCM(74980,74990) = 562275020