What is the Least Common Multiple of 74870 and 74882?

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 74870 and 74882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74870 and 74882, than apply into the LCM equation.

GCF(74870,74882) = 2
LCM(74870,74882) = ( 74870 × 74882) / 2
LCM(74870,74882) = 5606415340 / 2
LCM(74870,74882) = 2803207670

Least Common Multiple (LCM) of 74870 and 74882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74870 and 74882. First we will calculate the prime factors of 74870 and 74882.

Prime Factorization of 74870

Prime Factorization of 74882

Now multiplying the highest exponent prime factors to calculate the LCM of 74870 and 74882.

LCM(74870,74882) = 2¹ × 5¹ × 7487¹ × 37441¹
LCM(74870,74882) = 2803207670